Can Particles be Quantum Entangled Across Time?
Summary
TLDR本视频脚本深入探讨了量子力学的基本原理,包括量子物理的概率性质、量子与经典世界之间的神秘联系,以及量子纠缠所带来的非局部特性。这些特性不仅是量子物理学的核心,也是现代科技应用的基础。视频还提出了量子力学可能对理解时空本质的影响,引出了量子力学与广义相对论结合的挑战,以及量子力学在解释宏观现象时的局限性。通过精彩的对话,观众将对量子力学的哲学维度、量子概率波、测量问题,以及量子力学与现实本质的关系有更深入的理解。
Takeaways
- 📚 牛顿的运动定律在宏观世界中非常成功,但在微观世界(分子、原子和亚原子粒子)中失效,这导致了量子力学的发展。
- 🚀 量子力学的核心特征是概率论,与牛顿决定论的世界观不同,量子力学不预测物体的确切未来状态,而是预测可能性。
- 🌌 爱因斯坦虽然对量子力学的某些非定域性特征持批评态度,但量子力学已被实验以惊人的精度证实,并用于开发惊人技术。
- 🤔 量子力学的某些方面,如量子概率和量子纠缠,对我们的日常经验来说仍然是个谜,科学界仍在探索其对现实本质的意义。
- 🧬 量子纠缠是量子力学中的一种非经典关联,其中两个或多个粒子以一种方式相互关联,以至于一个粒子的量子状态不能独立于其他粒子的状态来描述。
- ⏳ 量子退相干是解释宏观世界中为何不观察到量子效应的一个重要概念,它涉及粒子与其环境的相互作用,从而抑制量子概率的某些方面。
- 🔍 量子力学的解释和实验验证仍在进行中,包括探索量子力学如何从描述宇宙内部的系统扩展到描述整个宇宙。
- 🌐 量子力学可能需要新的科学范式,而量子纠缠可能是理解时空结构的关键,它挑战了我们对经典物理世界的看法。
- ⚙️ 量子计算机的开发依赖于量子比特之间的纠缠状态,这是量子力学非经典关联的一个实际应用。
- 📉 海森堡不确定性原理是量子力学的基本原理之一,表明某些物理量(如位置和动量)不能同时被精确知晓。
- 📈 量子力学的发展和理解对我们未来探索宇宙、开发新技术以及深入理解物理现实具有重要意义。
Q & A
牛顿的运动定律在什么情况下开始失效?
-牛顿的运动定律在20世纪初科学家开始探索分子、原子和亚原子粒子的新领域时开始失效。在这些微观尺度上,牛顿的预测无法描述观测到的数据。
量子力学与牛顿力学在描述现实方面有何根本不同?
-量子力学与牛顿力学的根本不同在于量子力学是建立在概率概念上的。在牛顿力学中,给定物体当前的位置和速度,可以通过方程预测其未来的运动。而在量子力学中,虽然我们知道物体当前的状态,但方程提供的是未来可能状态的概率。
为什么在日常生活中我们观察不到量子力学的概率性质?
-在日常生活的宏观尺度上,与原子和粒子相比,概率分布被扭曲,使得一个结果几乎成为确定的结果,即牛顿力学的结果。但在考虑更小的领域时,概率分布更广泛,使得牛顿力学的结果只是多种可能性中的一种。
爱因斯坦对量子力学的哪些方面持批评态度?
-爱因斯坦对量子力学中的某些方面持批评态度,特别是它对现实的非决定性描述,即宇宙以一种数学上精确的概率游戏演化,这与爱因斯坦的直觉不符。
量子力学是否是现实的终极理论,还是仅仅是一个过渡性的理论?
-量子力学目前是描述系统非常精确的理论,但科学家们仍在探索它是否是现实的终极理论,或者它只是一个更基础描述的垫脚石,仍有待发现。
量子力学的发展对我们理解物理宇宙有何深远影响?
-量子力学的发展对我们理解物理宇宙有深远的影响,因为它提供了一个与日常经验截然不同的世界描述,这要求我们重新考虑物理现象的本质和现实的性质。
量子力学中的双缝实验揭示了什么?
-量子力学中的双缝实验揭示了粒子具有波动性,即粒子可以像波一样干涉,形成特定的干涉图样。这个实验支持了量子力学中物质被描述为概率波的概念。
量子纠缠是什么,它为何如此重要?
-量子纠缠是量子力学中的一个现象,其中两个或多个粒子以一种方式相互关联,以至于一个粒子的量子状态不能独立于其他粒子描述。它的重要性在于它挑战了经典物理学中关于局部性的概念,并对我们理解宇宙的基本结构提出了新的问题。
量子退相干是什么,它如何解释宏观世界中的确定性结果?
-量子退相干是一个过程,其中量子系统的相干性由于与环境的相互作用而丧失,导致量子概率中的干涉项被抑制。这解释了为什么我们在宏观世界中观察到的是确定性结果,而不是量子力学所描述的概率性。
量子力学中的不确定性原理是什么,它对我们理解物理现象有何影响?
-量子力学中的不确定性原理表明,某些物理量(如位置和动量)不能同时被精确知道。这个原理对我们理解物理现象有根本性的影响,因为它表明在量子尺度上,我们无法像在宏观世界中那样精确预测事件。
量子力学中的多世界解释是什么,它如何改变我们对现实的看法?
-量子力学中的多世界解释提出,每当一个量子事件发生时,宇宙都会分裂成多个版本,每个可能的事件结果都会在不同的宇宙中实现。这种解释改变了我们对现实的看法,因为它提出现实可能不是单一的,而是由多个并行的宇宙组成。
Outlines
😀 牛顿力学的误导性
第一段落主要讲述了牛顿力学对科学几百年的影响,以及它在20世纪初对分子、原子和亚原子粒子的预测失败。牛顿的运动定律在日常生活中非常准确,但当科学家探索微观世界时,牛顿的预测不再准确。这导致了量子力学的诞生,这是一种基于概率的新理论框架,与牛顿力学的确定性预测不同,量子力学预测的是事物未来状态的概率。爱因斯坦虽然对量子力学持批评态度,但实验已经证明了量子力学的惊人精确度,并且科学家们利用它开发出了令人惊叹的技术。
🧐 量子力学对现实的挑战
第二段落探讨了量子力学对人类理解物理宇宙带来的挑战,特别是它与我们的日常经验大相径庭。讨论了量子力学的哲学维度,包括量子概率波和测量问题。强调了物理学家寻求更深层次解释的愿望,即便数学模型能够描述数据,但如果不能提供对宇宙行为的洞察,那么它就没有解释宇宙的本质。
📚 量子力学的现状与挑战
第三段落讨论了量子力学目前的发展现状和面临的挑战。提到了量子力学的局限性,尤其是在普朗克尺度上,广义相对论与量子场论之间的不协调。强调了哲学家和物理学家之间的合作,以及量子力学中尚未解决的谜题,例如量子概率是否是现实的内在特征,以及量子力学如何从宇宙内部系统的描述扩展到整个宇宙。
🤔 量子力学的解释难题
第四段落深入探讨了量子力学的解释问题,包括量子退相干和量子纠缠。解释了为什么在宏观层面上我们看到的是确定的结果,而在微观层面上量子力学表现出其概率性。量子退相干是解释宏观世界中量子力学奇异性不显现的一种方式。同时,段落还提到了量子计算的希望和挑战,即如何保持量子比特的纠缠状态,以避免退相干。
🔬 量子纠缠的历史与发展
第五段落讨论了量子纠缠的历史和概念发展,从1935年薛定谔首次命名开始,到爱因斯坦、波多尔斯基和罗森(EPR)的论文,以及量子纠缠在空间和时间上的性质。强调了量子纠缠的非经典关联,以及它如何挑战我们对物理现实的传统理解。
🌌 量子纠缠与时空的本质
第六段落进一步探讨了量子纠缠,包括它在时空中的作用和可能的含义。讨论了量子纠缠可能指示时空本身的量子性质,以及这可能如何影响我们对时空结构的理解。还提到了量子纠缠实验,如希伯来大学在2012-2013年进行的纠缠交换实验,展示了即使在不同时间存在的粒子之间也可以存在纠缠关系。
🎓 量子物理的现实与未来
第七段落总结了量子物理的基础知识,包括量子物理的概率性质、从量子力学到经典世界的转变,以及量子纠缠的非局域性质。强调了量子纠缠可能是时空结构的关键,并且可能是物理学其他领域所建议的时空纠缠性质的证据。最后,鼓励听众继续探索量子现实系列的下一次对话,其中将讨论量子力学的多世界解释等主题。
Mindmap
Keywords
💡牛顿运动定律
💡量子力学
💡概率
💡薛定谔的猫
💡双缝实验
💡量子纠缠
💡量子退相干
💡量子计算
💡贝尔不等式
💡量子引力
💡多世界解释
Highlights
艾萨克·牛顿的洞察为科学设定了数百年的进程,但他的见解在某种程度上也极具误导性。
牛顿的运动定律在日常生活中我们所经历的事物运动中得到了体现,它们定义了物体的位置和速度。
牛顿的算法能够预测现实如何展开,正确预测了月球、行星的位置以及抛出的球的落点。
20世纪初,科学家开始探索分子、原子和亚原子粒子的新领域,牛顿的预测未能描述数据。
量子力学的发现和发展是20世纪20年代晚期科学家们创造的新范式,其核心是概率概念。
量子力学与牛顿力学不同,它不是预测事物将如何发展,而是描述事物发展的概率。
量子力学表明,宇宙以一种数学精确的概率游戏演化,爱因斯坦对此感到不满。
量子概率是现实的一个基本特征,而不是方法的局限。
量子力学在宏观层面上,与我们的直觉和日常经验相符,但在微观层面上,概率分布更广泛。
量子力学的许多问题至今仍未解决,例如量子概率是否是现实的内在特征,或者量子力学是否只是更基本描述的垫脚石。
量子力学是对我们对物理宇宙理解的最深刻冲击,因为它描述的世界与我们的日常生活经验截然不同。
量子力学的哲学维度,包括量子概率波和测量问题,是物理学家探索的重点。
量子力学的局限性和它如何映射到现实世界是当前物理学和哲学研究的热点。
量子力学的100周年纪念在2025年,至今仍存在关于数学如何映射到世界的难题。
量子力学与广义相对论在普朗克尺度上的不兼容性,是当前理论物理学中一个重要的问题。
量子纠缠是量子力学中一个非直观的特性,它表明即使两个系统不再相互作用,它们也不能独立于对方被描述。
量子纠缠可能暗示着时空本身的量子性质,包括时空的量子纠缠关系。
量子力学的非定域性质,即量子纠缠的粒子即使在空间上相隔很远,也能瞬间影响彼此的状态。
量子力学的实验验证了其惊人的精确度,并且科学家已经利用它发展出了令人惊叹的技术。
Transcripts
[Music]
[Applause]
Isaac Newton's insights set the course
of science for hundreds of years but
there's a sense in which Newton's
insights were also deeply misleading
Newton's famous Laws of Motion codify
what we all experience in everyday life
things move and as they do they sweep
out trajectories defined by position
where something is and velocity how fast
and in what direction Something is
moving indeed reality in this framing
comprises these very trajectories by
providing equations to delineate these
trajectories how the position and
velocity of an object change over time
Newton provided an algorithm for
predicting how reality
unfolds and the algorithm Works Newton's
Laws correctly predict where the moon
should be at any moment where the planet
should be at any moment where a ball
should land when
thrown but in the early part of the 20th
century as scientists began to probe the
newly accessible realm of molecules
atoms and subatomic particles newtonium
predictions failed to describe the data
and this failure was not one of f detail
that might suggest a simple refinement
to Newton's equations the failure was
epic suggesting to some that an entirely
new paradigm might be
required that intuition proved
correct and remarkably by the late 1920s
a single generation of scientists
produced that new paradigm with the
discovery and development of quantum
mechanics
an essential feature of the quantum
Paradigm is that the theory is built
around the concept of
probability that is unlike the Newtonian
picture in which we specify how things
are now and the equations predict how
they will be later on in the quantum
picture we specify how things are now
but the equations do something entirely
different they dictate the probability
of how things will be later on and
according to our best understanding the
Reliance and probability is not a
limitation of the approach but rather is
a fundamental feature of
reality the universe in a manner that
Einstein found
unpalatable evolves according to a
mathematically precise game of
chance so why don't we see these
probabilities in the course of everyday
life well the large scales of the
everyday compared to atams and particles
skew the probabilities making one
outcome the almost certain outcome and
that outcome is indeed the Newtonian
outcome but as we consider smaller
Realms the probabilities spread more
broadly rendering the Newtonian outcome
just one among many possibilities whose
likelihoods are governed by the
equations of quantum
mechanics Einstein may have been the
most vocal critic of this direction
physics had taken but even ardin
proponents have struggled to grasp what
quantum mechanics really means for the
nature of reality although experiment
has confirmed quantum mechanics to
astounding precision and scientists have
used it to develop stunning
Technologies many of those questions are
still with us today are quantum
probabilities an intrinsic feature of
reality or an artifact of the quantum
for
formalism how does the world transition
from the haze of possibilities Allowed
by the quantum description to the single
definite reality of common
experience how do we extend quantum
mechanics from description of systems
within the universe to the universe as a
whole is quantum mechanics The Rock
Bottom theory of reality or will it
prove a mere stepping stone to a more
fundamental description still awaiting
discovery
as WE peer into the future insight into
these questions will be essential for
navigating the quantum
Universe good
afternoon thank
you all right so our our subject today
is quantum mechanics and arguably
Quantom mechanics is really the most
profound disruption to our understanding
of the physical universe that our
species has ever
encountered and part of the reason for
that is the description of the world as
we just saw in the piece and as we will
explore here today the description of
the world is so different from our
everyday experience and in a sense
perhaps we should not be surprised by
that because after all our
minds evolved in order that we could
survive and survival and the intuition
that allows us to survive it does not
need to know about the behavior of
electrons and atoms and subatomic
particles this juncture between how we
experience the world and how we
understand the world through observation
and experiment will really be what will
guide our discussion here today we've
got a number of wonderful scientists to
help us think through some of the key
issues we have Elise Kow we have Sean
Carol we have Carla relli and let us now
turn to the first of those
conversations with Elise koll who is an
associate professor of philosophy at the
City University graduate Center and City
College her research explores the
philosophical dimensions of quantum
mechanics caal models as well as
relativistic and temporal
entanglement thank you
so just just to jump right inise I think
all of us are familiar that you know
prior to say
1900 we had a pretty good understanding
of physics right through the ideas of of
Newton and Maxwell and so forth and then
it began to to crumble right and as it
began to crumble a new paradigm came on
the scene
I want to explore that Paradigm but
you've written on the history of the
subject and I think many people perhaps
don't fully appreciate how much of a
psychological and emotional upheaval
this time was for the discovers of these
ideas can you just give us a sense of
what it was like sure um well I can try
I've felt that sort of cognitive
dissonance myself so there's some
first-person experience but um yeah
there was a famous speech given by Sir
Arthur Edington or S not Edington uh
Lord Kelvin thank you Lord Kelvin um one
of the guys in the history of physics
they're all the same yes he said there
were just a few clouds on the horizon
and we've nearly solved it all you know
we have boltzman manian statistical
mechanics we have Newtonian mechanics um
we've we've got um Maxwell's
electromagnetism uh there's just a few
issues and one of those issues was black
body radiation and that's just basically
if you've seen in an oven um whe there
was a known correlation between the
color or the heat inside of it and um
and how it radiated back out and there
was no good model for it and so uh plank
uh sort of looked at the the uh
empirical data and said I don't quite
know what the underlying story is here
yet but I can Cobble together a
mathematical structure I composite uh
this idea that light acts as though
quantized um quantized little little
pieces in bits yeah not just a wave as
it had been thought um and this captured
you know the empirical data correctly
but plank hated it because he said I
don't know what my own math really means
and it took until Einstein in 1905 and
then in 1909 uh to sort of provide that
background story and Einstein wasn't
happy with the background story either
because it required two terms in the
equation to solve black body reation one
of the terms was wav like continuous the
other term had H Plank's constant it was
quantized it was about bits and there
they were sitting together in this
equation uh and that's how we know it to
be today now is there something odd
about the idea of not being happy with
the mathematics after all if the
mathematics describes the data and
that's ultimately what physics is meant
to do why why would someone be unhappy
with it oh because I think uh we're
interested in the deeper explanations
right um or at least that's what
physicists tend to be drawn to uh and
mathematical mapping like capturing of
the phenomena is a part of it surely um
but how that mathematics is supposed to
lend insight into the real behavior of
things um if that's missing then you've
solved a puzzle but you haven't
explained the nature of the universe and
that's sort of the driving uh the
driving motivation I think for many of
these and and we'll get into the details
of you know Quantum probability waves
and issues like the measurement problem
just a moment but given that well
articulated view of what physicists are
trying to do where would you say we are
right now today with quantum
mechanics uh that's a great and large
question uh so I mean I'm primarily a
philosopher so I'm I I get sort of this
perspective uh so don't take it
personally if I say something you don't
like um but I think it's actually a
really exciting time because we're
seeing exactly the limitations of models
we've been working with for nearly a
century now I mean the 100th anniversary
of quantum mechanics is in
2025 um and there's still puzzles
enduring puzzles about what uh how the
mathematics really maps onto the world
and how to explain a lot of the data we
have uh and this gets even more uh
apparent when we get to the plank scale
the very small where our very well-
confirmed theory of general relativity
no longer sits well with our very wellc
confirmed theory of uh Quantum fields
and so on uh and so and the plank scale
just to give you people a sense of how
small that is 10 Theus 33 cm is a number
that we often kick around so it's
fantastically small yeah extraordinarily
small um but I don't know it keeps me
awake at night to think that these two
theories don't don't play well at that
level um but it's it's an exciting time
as a philosopher with with physics
training
because there's more engagement between
philosophers and physicists because
we're talking about theories of quantum
gravity and theories of quantum field
theories and so on that uh not every
piece of them is empirically uh testable
or at least we haven't figured out how
or maybe maybe in principle testable so
some of this is questions of how
brilliant are engineering how clever we
can get about shielding our systems from
external fields and so on um but part of
it is just asking can we have a broader
notion of what evidence we might look
for can we think about for instance
whether there are systems we understand
very well in a different realm of
physics like hydrodynamics or something
that might yield insights into how
Quantum gravitational systems might work
but how do you an analyze the science of
a analogy right how do you know when the
explanation from this one field that's
well known whether it's really saying
something about this other unknown uh
bit of the world or whether it's just
biasing the way you're describing the
narrative that you're telling about the
world and it can go both ways sure so so
getting in a little bit to the details
in the background in the Newtonian
picture if I tell you the initial
conditions you know the the speed and
the location from which a ball say is
thrown the velocity to be more precise
Newton tells us where it will land and
quantum mechanics comes along and says
that's not the case right so in quantum
mechanics there are many locations where
say an electron could land given the
same initial conditions and that leads
to this idea of a probabilistic
description of the world where you don't
say where it's going to land you just
give the probabilities of where it might
be so one way that that scientists were
taken to this picture of matter is of
course with the famous double slit
experiment where you know you're firing
particles at a barrier with two slits
you'd think that the particles would
land on the detector screen in two lines
that are aligned with the two openings
but when you actually do the experiment
of course as we now know for over a
hundred years you don't find just two
lines on the detector screen in fact you
find many lines many bands in a very
particular pattern which scientists were
able to explain by thinking of particles
as waves and as the waves hit the two
openings and they carry on they
crisscross and they interfere with each
other and through that interference we
get a pattern just as in the data if we
interpret of course the waves as waves
of probability where the wave is Big
many of the particles will land where
the wave is small very few will land so
this this now takes us to this this new
paradigm that particles matter should be
described as undula
waves of
probability did it take people a long
time to accept that change because I
would consider that I mean we'll talk
about other things but that's like the
dominant new idea that comes into the
story well Brian I'd argue that there
are many people who still haven't
accepted that what we what quantum
mechanics are saying is that we have a
an irrevocably probabilistic Universe um
and so there are many interpretations
that are offered of this mechanics there
are supposed was to fill this Gap
explain why it is that the formalism
that's sort of shared amongst the
interpretations the sort of core bit of
explanatory work maybe what you read in
your quantum mechanics textbooks which
you all have at home and we'll study
later this evening right um but H the
story there is that yeah we get we get
we have the born rule which is this rule
that tells us how what sort of
probability to expect which outcomes
yeah but no thoroughgoing causal story
of how we get from point A to exactly
point B A well- Defined localized spot
or measurement and that that that story
that you're referring to would start
with this new
probabilistic idea electron 30% here 22%
there 19% there and so forth go from
that which we don't experience somehow
transitioning to when we measure the
electron we find it at one location it's
a kind of schematic representation where
the height of this wave is meant to
indicate you know the likelihood of the
particle being at one location or
another that's the story that we don't
experience but then we go and measure
that electron let's just do it together
3 2 1 measure that electron oo wow that
felt very powerful to do that but now
the probability has spiked because now
we've measured the electron we know it's
at that particular location how in the
world do we go from this weird
probabilistic description
upon measurement to a definite outcome
well I uh that is a deeply unfair
question he's asking me to resolve the
interpretation problem for you um and
you know or even just tell us why it's
so hard yeah well um so first of all I
just want to clarify something a little
bit I mean it's true that at the
macroscopic level of cables and chairs
and other people we do see what look to
be definite outcomes but if you're doing
measurements on smaller systems you do
you can measure what are called
interference terms and we call those
sort of the residue of the wav like
features of those systems uh and so
they're there and we're getting better
at testing like keeping interference
terms coherent to higher and higher
levels so the idea is if we had really
brilliant uh engineers and really good
shielding we could send an elephant
through a double slit experiment and see
the elephant sort of give us a a
interference pattern on screen um but
the idea is that the appearance of the
classical world and definite outcomes we
have a pretty good physics story for how
that works and it involves what's called
Quantum decoherence and it's basically
that the entanglement of two systems um
it's a way there's a way that they can
communicate with one another once
they're entangled uh and if you're in an
environment with many many uh degrees of
freedom ways of being that's sort of a
poetical way to put it I suppose uh many
parameters then those can sort of damp
the interference terms down if they
become entangled with you and so those
waves the wave Peaks that might give
rise to a smeared cat that's dead and
alive or something get damped down so
that we'd have to do measurements over
many lifetimes of the universe before we
might see something non-classical
looking so this is possibly an
explanation for why it is that the
weirdness of quantum mechanics doesn't
come up to the macro
macro
world
ofaction you have the catons arec off of
it you're maybe petting all those
interactions affect the quantum
description of the cat and and the idea
of this Quantum decoherence is those
interactions tend to suppress the very
parts of quantum probability that are at
odds with our experience which is why
our experience is as as it is yeah I
mean is that widely
accepted perspective now would you say
well it should be because it's
right um but in fact I think to be to be
less flippant about it um those who are
working seriously on realist
interpretations of quantum mechanics
will all use decoherence to explain a
huge chunk of their story and then
they'll bring in either a spontaneous
collapse of the wave function to get
from Mostly damped interest which is
kind of what we saw in that little
example that's what that you know or you
could say that many universes come out
of it and you'll hear more about these
different things later on um but yeah
uh I want to say that those interferance
terms are still there and there are
there are experiments done where we can
recover these terms and in fact our
whole hope of building quantum computers
that are you know powerful enough is
that these Quantum cubits are in
entangled states with one another and
that's how we get more than zero and one
as our values and we have a more
powerful more expressive machine but
entanglement gets destroyed by
decoherence the whole game in building
quantum computers is to Shield it from
this very thing that hides the
quantumness as it were now you mentioned
the word entanglement a couple times and
uh it'd be great to spend a little bit
of time talking about that so you've
actually written on the history of this
idea I mean just give us a thumbnail
sketch going back say to to 1935 maybe
that's a good year to focus upon we can
scoot a bit back further I mean so
something that you learn when you look
at the history of physics is not only
that there aren't Geniuses sitting alone
in a room somewhere even Heisenberg on
helgoland I know I'm sorry to break it
to you they're in communication with one
another they're bouncing ideas off
Schrodinger was having many
conversations in 26 27 uh about the
nature of his wave function he published
a series of papers in 1926 exploring
what the wave function could do for
Quantum systems uh but he was still
troubled and you see in his notebooks
were which are written in a cryptic
German
shorthand uh so a lot of fun to decode
um if anybody feels like doing a puzzle
later on there are still some notebooks
to be translated but he starts thinking
like there's this strange feature of uh
interacting systems in quantum mechanics
that doesn't appear elsewhere and we see
him talking about this and he sends
letters back and forth with Einstein in
1935 um exploring this concept more and
at the end of 1935 he publishes a paper
in which he baptizes this strange
interconnectedness of systems such that
even when they've ceased to interact
they still cannot be described without
making reference to that other system so
our Notions of Newtonian individuality
where I can give you the list of
properties that belong to this thing and
it belong that state belongs to this
object um if this is entangled with
other stuff I can't write down a state
of its properties all by itself it's
instead uh I have to describe it by
making reference to all these other
um and he calls it entanglement uh so it
gets named for the first time by
schinger the end of 1935 but the ideas
in the air and it's being talked about
by Schrodinger and Einstein and a uh
philosopher of physics Greta Herman and
others so it's floating but nobody
really wants to accept it and I think we
even have a quote Yeah of uh shinger but
you probably know it by heart but I
would not call that referring to
entanglement one but rather the
characteristic trait of quantum
mechanics that's this notion that you
can have two things that are not next to
each other yep and yet you can't
describe either independently of the
other very very strange idea we're used
to a world that's sort of local right
what happens here happens here and you
don't need to think about stuff over
there to describe what's happening over
here and then in 1935 Einstein writes a
a curious paper on this which you've
written about yeah uh well Einstein had
less to do with the writing than he
would have liked but he co-authored a
paper with Podolski and Rosen uh and
Podolski wrote it uh yes can Quantum
yeah can quantum mechanical descriptions
of physical reality be considered
complete um and people have spent a lot
of ink trying to get clear on what The
Logical problem or Paradox is there but
in a letter to schoder Einstein says
very clearly like aside from what's
printed in the paper my issue is that
you schinger your wave function doesn't
which is that spread out blue
probability Wave Y doesn't tell me like
which state will come out in the end for
a given system that I measure and
Einstein's thinking that all these
physical systems in the world even if
they're quantized or whatever have
little flags on their heads with a list
of properties that follow them around
but with Schrodinger's new mechanics uh
it looks like there's a way that the
flag has other properties of other
systems and I can't predict my flag sort
of depends on your flag if we're
entangled in this way and and that I
can't give a complete description uh at
the beginning of my experiment which
wave function will end up describing uh
one system at the beginning there are
multiple mathematical descriptions of
the final project and he wants a one
toone correlation can we give a concrete
example I think many people are are
familiar at least at one level or
another but uh before we show any visual
we'll use the so-called spin a half
particle it's a technical term but
basically I think as many people know
every particle in the world spins around
at a fixed nonchanging rate but that
rate can be either spinning clockwise or
counterclockwise we call one spinning up
the other spinning down this is a known
fact about particles but in the quantum
World much as the cat can be sort of
part dead and part alive the electron
can be sort of partly here and partly
there this spin a half particle can be
in a blend of up and down at the same
time cuz we just see an example of a
single sitting there we go right so
again much as measuring the position you
can measure the spin so if we can do
that together 3 2 one measure there it
is right and it happened to come out up
in that case but if you let it another
example if we can just do it have that
guy going let me do it this time you got
it I don't know if you got the power but
try it three two
one ah you do look at that Fant
fantastic now that's weird enough right
because this is the example that you
began with by saying you know you've got
this probabilistic Haze of possibilities
and upon measurement somehow one is
selected that's weird but let's accept
it okay because now we want to talk
about what you were focusing on a moment
which is entanglement and to do that
let's bring up two of these particles
that have been set up and I'll let you
do the honors so why don't you measure
just the particle on the right don't
touch the particle on the left okay 3 2
1 very well done sound that time okay so
the point is by measuring the particle
on the right and getting it to have a
definite quality you force the particle
on the left to have a definite quality
that's the correlation which is weird
right Einstein called
that spooky right well spooky because we
have to imagine these guys are so far
apart on the opposite ends of the
universe yeah they couldn't have sent a
signal to one another say hey particle
one I'm going to be spin up so how about
you be spin down yeah so there there's
no signaling theorems that show that
quantum mechanics these separate uh
measurements correlate to a higher
degree than we can explain classically
and we call that
non-locality and that that is in many
ways a signature of entanglement of
these systems and they're not talking to
each other uh so how does it happen
I'm so glad I'm asking the
questions you'll have to attend one of
my courses where we'll solve for you h
no I yeah we there's much we don't know
about entanglement and different people
will Define entanglement differently and
in fact many of the experiments that
we've done uh looking for these
non-classical correlations are Bell type
experiments uh to to show that Bell's
inequalities are violated by that's
something talk about it a little bit in
the next conversation but yeah but they
they they look at two systems separated
in space but of course we live in 4D or
more as you like um and so what's really
happening these measurements are not
just across space but they're also at
different times yeah technically right
sure and so entanglement is a property
of space and time and so there are these
really clever experiments being done to
think about the temporal aspects of
entanglement um because you can
understand maybe there's some spooky
whatever connection between things at at
a spatial difference but how could it be
that through time they're communicating
so in fact there's uh I think you might
have a slide yes I think can can we
bring up uh at leis yes so tell us what
we're looking at here so this is roughly
based on an what's called an
entanglement swapping experiment and it
was done at Hebrew University in 2012
2013 but basically you're looking at you
see particles one and two are entangled
photons just like we just you know did
our little experiment with so if you
follow their trajectories entanglement
or let's see so one and two get
entangled but then we measure one we
kill it off right but we send two when
you say kill it off you mean you've now
changed its properties through this
measurement absorb the particle or
whatever yeah yeah so I mean
Schrodinger's equation is deterministic
so it's you know classical in a sense
that it gives us values for all but as
soon as we do a measurement it kicks
that uh that EV Evolution out of
unitarity but um Okay so do a
measurement so we can't say you know
anything further
about two we send bouncing around on all
these mirrors here for a bit so just
forget about two you know U meanwhile at
T3 here time three we create two more
entangled particles three and four and
we do a special measurement at two and
three it's called a bell type
measurement and it just does something
called flips the entanglement it takes
the entanglement from one and two and
flips it onto two and three so the
entanglement one and two and the
entanglement of three and four gets
swapped onto two and
three but then we take four and we
finally later on do a measurement of
four now what's interesting is look at
particle two over there he lived between
T1 and T2 sorry particle one lived
between T1 and T2 and then died and over
here we have particle four which lived
between T3 and T5 so in the lab frame of
reference particle one and particle four
never coexist and yet they measured um
polarization angles that are non like
spins spin that are non-classically
described so they were entangled this
particles that never lived at the same
time nevertheless knew what values they
should manifest such that they would
violate classical statistical
correlations and that's pretty uh cool
that's kind of that's kind of crazy if
any classical Reckoning um and and so
what is this I mean it's still very much
a story in the making but just in our
last couple minutes here what do you
make that this is telling us I mean is
this giving us deep insight into the
nature of SpaceTime some kind of
entangled quality which other areas of
physics have certainly been suggesting
absolutely I think it that entanglement
really forces us so the line after
schrodingers the finishing of that
sentence is not it's just one but the
and the is supposed to be italicized in
the original the um description that
forces our entire departure departure
from classical lines of thought our
minds are still here's a physical object
It's relatively isolated I can list its
properties and those properties belong
to that system yeah we just can't think
like that anymore because entanglement
showing us that how we Define systems uh
there can be properties attached to
those systems that don't obey the usual
uh stories but then you can think that
the story I told before about you know
when we did our clapping and we got the
entangled so and then I just showed you
entanglement in time but we're still
talking about polarization or spin a
property being entangled over SpaceTime
but there's this further question that
if SpaceTime is quantized as many think
it is then SpaceTime itself could be in
entanglement relationships and that is
pretty cool
also um and I think maybe there's
another image that can show up yeah
let's at least final image if you would
yeah so I mean we don't think of
SpaceTime as a physical object like you
know a Rubik's Cube mini block or
something it's clearly not that kind of
substance but it ain't nothing okay even
Newton understood that SpaceTime was
some kind of substance not like a
material body uh not just a force the
spinning bucket of water is how we got
to that conclusion but yes right and so
um there's a way if SpaceTime can be
curved so it can have properties right
right then surely it can have if it's
quantized the quantum property namely
entanglement so it could be that I've
drawn these beautiful little arrows here
to illustrate uh this little brick of
SpaceTime and I've compressed one of the
dimensions you choose which uh and the
other up over there could be entangled
such that
well the nature of space and time are
not a sign you know uh bodies sitting in
those places aren't sitting in a region
of space it's mindboggling and I'm just
beginning to work on it so so it's a
deep interconnection woven into the
fabric of SpaceTime itself in principle
absolutely fantastic yeah please join me
in thanking Elise PE thank you thanks
that was
wonderful all right that was an
enlightening tour of the basics of
quantum reality including the
probabilistic nature of quantum physics
the remaining mystery of how a seemingly
definite classical like world can
emerge from one that is inherently
quantum mechanical and finally the
wonderful weirdness that so concerned
Einstein but has now become commonplace
in our applications of quantum physics
namely the non-local qualities that
arise from quantum entanglement and
these are qualities that may well be at
the heart of how SpaceTime itself is
stitched together all right with that
quick summary I now encourage you to
continue your journey with our second
conversation in this Quantum reality
series with our guest physicist Sean
Carrol in which among many other things
we will explore the many world's
approach to quantum mechanics
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