 Oct 2023

twitter.com twitter.com

If you look at George Ellis’s Google Scholar, it’s clear that he has gone down the deep end a while ago. What is it with these cosmologists? (Ahem, Penrose). Suddenly they discover quantum physics and it’s the solution to consciousness. Or gravity makes wavefunctions collapse.
quote from Christoph Adami at https://twitter.com/ChristophAdami/status/1711583362647814485
Re: George Ellis https://www.nature.com/articles/d4158602303061y
Physicists and quantum mechanics as solution to consciousness.
See also: Physics in Mind: A Quantum View of the Brain by Werner R. Loewenstein

 Aug 2023

royalsocietypublishing.org royalsocietypublishing.org
 Feb 2023

www.youtube.com www.youtube.com

 physics/mathematics  Classical Physics  Quantum Mechanics <br /> <br />  State Space  fields satisfying equations of laws<br> the state is given by a point in the space  vector in a complex vector space with a Hermitian inner product (wavefunctions) <br />  Observables  functions of fields<br> usually differential equations with realvalued solutions  selfadjoint linear operators on the state space<br> some confusion may result when operators don't commute; there are usually no simple (realvalued) numerical solutions 

https://www.youtube.com/watch?v=5qGRPOzMWnA
Watched the first 46:39 on 20230202. His personal communication style is a bit offputting, but remedied slightly by watching at 1.25 or 1.5x speed. He's broadly covering pieces directly from his text which seems much more compact and elegant. Questions from the viewers in real time is a bit muddy with respect to understanding what they're saying.
I gave up on the video due to streaming issues.

One of the problems in approaching quantum gravity is the choice for how to best represent it mathematically. Most of quantum mechanics is algebraic in nature but gravity has a geometry component which is important. (restatement)
This is similar to the early 20th century problem of how to best represent quantum mechanics: as differential equations or using group theory/Lie algebras?
This prompts the question: what other potential representations might also work?
Could it be better understood/represented using Algebraic geometry or algebraic topology as perspectives?
[handwritten notes from 20230202]
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 differential equations
 gruppenpest
 Peter Woit
 selfadjoint operators
 open questions
 quantum observables
 Hermitian inner products
 classical physics vs. quantum mechanics
 algebraic geometry
 commutativity
 quantum mechanics
 observables
 mathematical physics
 fields
 quantum gravity
 algebraic topology
 state spaces
 watch
 complex vector spaces
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royalsocietypublishing.org royalsocietypublishing.org

Bell’s theorem is aboutcorrelations (joint probabilities) of stochastic real variables and therefore doesnot apply to quantum theory, which neither describes stochastic motion nor usesrealvalued observables
strong statement, what do people think about this? is it accepted by anyone or dismissed?



Instead of trying to resolve in general this problem of how macroscopic classical physics behavior emerges in a measurement process, one can adopt thefollowing two principles as providing a phenomenological description of whatwill happen, and these allow one to make precise statistical predictions usingquantum theory
To resolve the measurement problem from quantum mechanics into the classical realm, one can use the observables principle and the Born rule.

Principle (The Born rule). Given an observable O and two unitnorm statesψ1〉 and ψ2〉 that are eigenvectors of O with distinct eigenvalues λ1 and λ2Oψ1〉 = λ1ψ1〉, Oψ2〉 = λ2ψ2〉the complex linear combination statec1ψ1〉 + c2ψ2〉will not have a welldefined value for the observable O. If one attempts tomeasure this observable, one will get either λ1 or λ2, with probabilitiesc21c21 + c22and c22c21 + c22respectively.

Principle (Observables). States for which the value of an observable can becharacterized by a welldefined number are the states that are eigenvectors forthe corresponding selfadjoint operator. The value of the observable in such astate will be a real number, the eigenvalue of the operator.
What does he mean precisely by "principle"?

Axiom (Dynamics). There is a distinguished quantum observable, the Hamiltonian H. Time evolution of states ψ(t)〉 ∈ H is given by the Schr ̈odingerequationi~ ddt ψ(t)〉 = Hψ(t)〉 (1.1)

Axiom (States). The state of a quantum mechanical system is given by a nonzero vector in a complex vector space H with Hermitian inner product 〈·, ·〉.

Axiom (Quantum observables). The observables of a quantum mechanical system are given by selfadjoint linear operators on H.

Weyl’s insight that quantization of a classical system crucially involves understanding the Lie groups that act on the classical phase space and the unitary representations of these groups
Tags
 measurement theory
 physics
 Lie groups
 selfadjoint operators
 quantum observables
 measurement problem
 Hermann Weyl
 Schrödinger equation
 representation theory
 quantum mechanics
 Born rule
 Hamiltonian
 unitary representations
 classical mechanics
 decoherence
 state spaces
 axioms
 eigenvectors
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 Jan 2023

inferencereview.com inferencereview.com


Woit, Peter. Quantum Theory, Groups and Representations: An Introduction. Revised and Expanded version [2022]. Springer, 2017. https://www.math.columbia.edu/~woit/QM/qmbook.pdf.

 Dec 2022

www.quantamagazine.org www.quantamagazine.org

At last some qubit+gravity advancements, nice article if you get past the initial blahblah sections.

 Nov 2022


Diseases don’t have to follow rules.
Reminds me of something Carl Sagen said  I think it was Sagen though might have been Feynman  in the context of quantum physics, that the universe is under no obligation to observe our rules, or something like that.

 Oct 2022

www.sciencealert.com www.sciencealert.com

9 hours ago — In a 2021 study, quantum entanglement was directly observed and recorded at the macroscopic scale – a scale much bigger than the subatomic ...


www.google.com www.google.com

Has quantum entanglement been observed?

 Sep 2022

www.youtube.com www.youtube.com

TLDR Hyperion is a moon orbiting Saturn and has chaotic motion about its CoM. This chaos is modeled correctly with classical mechanics but incorrectly with quantum mechanics. The catch being that if the average of all wavefunction collapses due to decoherence with interactions particles+photons is included then the prediction is correct. However, averaging is a nonphysical process and, furthermore, collapsing a wavefunction requires instantaneous transfer of information which is nonphysical.
 Saturn's moon, Hyperion, has chaotic motion due to the orientation of the moon about the orbit. Due to chaos, we can't predict orientation due to chaotic tumbling.
 This can be described classicly with relativity.
 Quantum Mechancis has been falsified because it fails to recreate or predict chaotic behaviors of the moon after 20 years.
 Due to the linear nature of the eigenvector in Schrodinger's equation, it can not contain chaos.
 By applying the correspondence principle, we only see chaos for up to the Ehrenfest time upon having the time function applied.
 Physicists explain this incongruence in theories because the Schrodinger equation isn't including the entangled interactions of light/dust. These effects result in decoherence.
 By averaging over the predictions we achieve the same solution as classical mechanics. Howevering averaging isn't a physical process. (e.g. rolling a 6 sided dice many times gives an average of 3.5 which is nonphysical)
For a model to be real, we require that each individual prediction is true not the average. One solution is that Hyperion interacts and is having it's wavefunction updated nonlinearly resulting in decoherence. * Collapse of a wavefunction is said to not be physical due to instantaneous transfer of information being impossible. However, this wavefunction collapse due to interactions is required for the chaos of Hyperion to be modeled correctly. This is the issue.
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 Aug 2022

Local file Local file

We finish with a comparative analysis of these blockchain technologies,in terms of their relative vulnerability to quantumattacks.
We expect a comparative analysis of various BCh technologies, in terms of their relative vulnerability to quantum attacks.

he US National Institute of Standards andTechnology (NIST) has begun the process of standardizing and deploying quantumsafe publickeycryptography
This is an example of politics being biased by technology.

Doing this, we can confidentlyconclude that by the year 2035 it is more likelythan not that quantum technology will have advanced sufficiently to be able to break RSA2048efficiently. This conclusion is shared by well established researchers (see, e.g.[2, 3])
Here, author uses other researcher's conclusions and states that by the year 2035 it is a fact that quantum technology will have advance sufficiently to be able to break RSA2048 efficiently.

vulnerable toadvances in quantum technology
the major threat: quantum technology


www.nature.com www.nature.com

Such optical modulation of atomic motion is an alternative path towards realizing 2D electronic states and will be a useful platform upon which novel phases in quantum materials may be discovered.

 Jul 2022

docdrop.org docdrop.org

i just wanted to interject that uh could i come at this point carlo i would like to insist a bit on this because i'm i'm not quite clear 01:07:22 on whether you are agreeing or not on the question of the mind um thank you this is also i wanted to ask him the same question mario uh so by just raise the question 01:07:40 specifically all right so let me okay since we're talking about nagarjuna now i would also like to uh read some simple verses that he has and get from both from barry and you what do you 01:07:53 think so this is from chapter three examination of the sentences seeing hearing smelling tasting touching and mind are the six sense faculties their 01:08:04 spheres are the visible objects etc like the scene the herd the smell that tasted and the touched the hair sound etc and consciousness should be understood so actually i'm confused from both of 01:08:18 you first of all barry is the mind anything special in buddhist philosophy or is it just like seeing and hearing and carlo are you saying there is anything 01:08:31 special about them right
Mario interjects in the conversation to clarify Barry's question to Carlo, which is concerning the subjective aspect of experience and how it fits into science as the observer. It comes down the the question of existence of reality and the obrserver's role in that, epitomized in the question: If a tree falls in the forest, does anybody hear?

 Jun 2022

Local file Local file

Quantum Notetaking
really?! now we're selling something wiz bang!


intensecrypto.org intensecrypto.org
 Nov 2021

eprint.iacr.org eprint.iacr.org

Before we prove this lemma, we explain why such a lemma is useful for proofs in the quantumrandom oracle model.
onewaytohiding lemma
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thenewpress.com thenewpress.com

“Because physicists started out with the imaginary, unstable cube as their model instead of the realworld stable tetrahedron, they got into all these imaginary numbers and other complicated and completely unnecessary mathematics. It would be so much simpler if they started out with the tetrahedron, which is nature’s best structure, the simplest structural system in Universe.
(Just as an aside, to remember later when you’re studying physics in school, I want to point out that the tetrahedron is also equivalent to the quantum unit of physics, and to the electron.)”

 Oct 2021

timeenergyresources.com timeenergyresources.com

If the Bauhaus existed today, what would it look like?
What would the Bauhaus do differently, learning from the mistakes of the past and how modernism was coopted by neoliberal capitalism.

 Sep 2021

www.infinitepotential.com www.infinitepotential.com

His questioning of the scientific orthodoxy was the expression of a rare and maverick intelligence. He shows us that the nature of reality is infinite and believed in a “hidden” regime of reality – the Quantum Potential – that underlies all of creation and which will remain beyond scientific endeavor, an idea echoed by many mystical traditions.
“We are all participants and observers in the emergence of a reality…the Observer is the Observed. Bohm shows us that we are all coproducers of a possible future in which personal and global transformation is possible.”

 Jul 2021

www.nature.com www.nature.com

continuoustime quantum walks in fractal photonic lattices
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a basic ingredient of quantum theory: the category Hilb whose objects are Hilbert spaces, usedto describe physicalsystems, and whose morphisms are linear operators, used to describephysicalprocesses
[[hilb]] == [[hilbert spaces]] + [[linear operators]]
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 May 2021

ai.googleblog.com ai.googleblog.com

Estimate of the equivalent classical computation time assuming 1M CPU cores for quantum supremacy circuits as a function of the number of qubits and number of cycles for the SchrödingerFeynman algorithm. The star shows the estimated computation time for the largest experimental circuits.
Informative diagram of Quantum Supremacy


www.forbes.com www.forbes.com

2019 Google claims to have reached quantum supremacy by performing a series of operations in 200 seconds that would take a supercomputer about 10,000 years to complete; IBM responds by suggesting it could take 2.5 days instead of 10,000 years, highlighting techniques a supercomputer may use to maximize computing speed
1st quantum supremacy claim by Google, challenged by BM though.

Lov Grover of Bell Laboratories invents the quantum database search algorithm
Another useful quantum algorithm.

 Apr 2021

aeon.co aeon.co

After keeping brain organoids alive for several months, we finally observed the spontaneous emergence of brain oscillatory waves, similar to those detected by electroencephalograms (EEG).
Is it related to Integrated Information Theory?


www.space.com www.space.com
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 Feb 2021
 Jan 2021

www.quantamagazine.org www.quantamagazine.org

New Quantum Algorithms Finally Crack Nonlinear Equations
 We can’t predict the weather, among many other complex issues, because computers still can’t solve nonlinear equations.
 But this might change soon, as two different research teams created algorithms that can be used for nonlinear modelling on quantum computers.
 Their techniques still need refining, and won’t be realworld ready for years, but these studies are another stepping stone towards truly useful quantum algorithms.

 Oct 2020

Local file Local file

The graphs of ground state confinement energy againstsize (radius) for zinc sulfide nanoparticles in Figure 14 showthe dependence of confinement on the size of quantum dots.The result shows that ground state confinement energy is
Las graficas de la energía de confinamiento en su estado fundamental en contra del tamaño (radio) por nanopartículas de sulfato de zinc en la Figura 14 muestran la dependencia de confinamiento en el tamaño de los puntos quánticos. El resultado muestra que el estado fundamental de energía en confinamiento es inversamente proporciona al tamaño (radio). Por lo tanto, cuando uno incrementa su radio (tamaño) la energía de confinamiento decrece pero nunca llega a cero. Eso es, el energía mas baja posible para el punto quántica de muestra no es cero. El confinamiento comienza cuando el radio del punto cuántico de muestra es comparable o del orden del radio exciton de Bohr.


www.quantamagazine.org www.quantamagazine.org

The notion that counting more shapes in the sky will reveal more details of the Big Bang is implied in a central principle of quantum physics known as “unitarity.” Unitarity dictates that the probabilities of all possible quantum states of the universe must add up to one, now and forever; thus, information, which is stored in quantum states, can never be lost — only scrambled. This means that all information about the birth of the cosmos remains encoded in its present state, and the more precisely cosmologists know the latter, the more they can learn about the former.

 Jul 2020

csrc.nist.gov csrc.nist.gov

4.A.2 Security Definition for Encryption/KeyEstablishment



Does a non negligible failure rate affect the security of TLS?

 Jun 2020

medium.com medium.com

Interesting article with a qucik introduction to the terms and methods.

Understanding Quantum Point Information

 May 2020

www.osano.com www.osano.com

quantum blockchain
Do they really use a quantum blockchain? What exactly do they mean by that? Probably just a buzzword they're using to attract interest but aren't actually meaning literally.



A quantum blockchain, the pair suggests, would take advantage of entanglement, which in most cases, applies to situations regarding space. But it could also be useful for situations involving time, such as blockchains. In such a blockchain, the pair explains, transaction records could be represented by pairs of entangled photons linked in chronological order. When transfers take place, photons would be created and absorbed by the hubs that comprise a network. But since entangled photons are linked across time, they can be caused to have never existed at the same time.

 Feb 2020
 Jan 2020

quantum.country quantum.country

=(α∣0⟩+β∣1⟩)(γ∣0⟩+δ∣1⟩)=αγ∣00⟩+αδ∣01⟩+βγ∣10⟩+βδ∣11⟩.
Might be the answer to an above inquiry.

we apply a Hadamard gate
What is the method to evaluate whether the output of a Hadamard gate should invert the bottom qubit or not?
is (0 + 1) / sqrt 2 high or low?
I'm missing something fundamental here.

equal
Frustrating wording here for me... Why is the word "equal" here at all. Doesn't seem to clarify anything.

quantum teleportation
I was thinking yesterday that "quantum" anything is both much more exciting and much less exciting than we've been led to believe by "Pop Science".
It seems to boil down so far to some fancy linear algebra. I'm sure time will prove me a fool for thinking this, but just want to jot my thoughts down here.

the
For Computer Scientists, Microsoft put together a primer to Quantum Computing for us here: https://www.youtube.com/watch?v=F_Riqjdh2oM
I could understand some of it (through 40m), but think this series of articles will help immensely and I'll return to it after.

What does it mean for a matrix UUU to be unitary? It’s easiest to answer this question algebraically, where it simply means that U†U=IU^\dagger U = IU†U=I, that is, the adjoint of UUU, denoted U†U^\daggerU†, times UUU, is equal to the identity matrix. That adjoint is, recall, the complex transpose of UUU:
Starting to get a little bit more into linear algebra / complex numbers. I'd like to see this happen more gradually as I haven't used any of this since college.

 Jul 2019

en.wikipedia.org en.wikipedia.org

unitary operator is a surjective bounded operator
Why must unitary operator only be surjective? Why not bijective?
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 Mar 2019

complexityzoo.uwaterloo.ca complexityzoo.uwaterloo.ca

Special Complexity Zoo Exhibit: Classes of Quantum States and Probability Distributions 24 classes and counting! A whole new phylum of the Complexity kingdom has recently been identified. This phylum consists of classes, not of problems or languages, but of quantum states and probability distributions. Well, actually, infinite families of states and distributions, one for each number of bits n. Admittedly, computer scientists have been talking about the complexity of sampling from probability distributions for years, but they haven't tended to organize those distributions into classes designated by inscrutable sequences of capital letters. This needs to change.

 Jan 2019

static1.squarespace.com static1.squarespace.com

qualitative leap
I think I found a typo; I fixed it ;)


www.quantamagazine.org www.quantamagazine.org

The new experiment shows that, in a quantum world, two people can end up disagreeing about a seemingly irrefutable result, such as the outcome of a coin toss, suggesting something is amiss with the assumptions we make about quantum reality.

Frauchiger and Renner came up with their thought experiment, which is an extension of something the physicist Eugene Wigner first dreamed up in the 1960s.

 Nov 2018
 Aug 2018

www.wesjones.com www.wesjones.com

Hegel believed that history culminated in an absolute moment  a moment in which a final, rational form of society and state became victorious.
and probably not a bad outcome in an earlier era that thought of things in terms of clockwork and lacked the ideas of quantum theory and its attendant uncertainties.
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 May 2018

pubs.acs.org pubs.acs.org

GreenSynthesisDerived CdS Quantum Dots Using Tea Leaf Extract: Antimicrobial, Bioimaging, and Therapeutic Applications in Lung Cancer Cells

 Apr 2018

www.quantamagazine.org www.quantamagazine.org

“We often discussed his notions on objective reality. I recall that during one walk Einstein suddenly stopped, turned to me and asked whether I really believed that the moon exists only when I look at it.”

 Mar 2018

www.thedivineconspiracy.org www.thedivineconspiracy.org

MIND, MATTER AND THE IMPLICATE ORDER. Paavo Pylkkänen
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www.tcm.phy.cam.ac.uk www.tcm.phy.cam.ac.uk

A new theory of the relationship of mind and matter, David Bohm

 Feb 2018


The NSA must be psyched about this.

 Dec 2015

www.theguardian.com www.theguardian.com

this week’s announcement by Google that a machine made by a Canadian company, DWave Systems, which is marketed as “the world’s first commercial quantum computer”, had shown spectacular speed gains over conventional computers. “For a specific, carefully crafted proofofconcept problem,” Google’s Hartmut Neven reported, “we achieved a 100millionfold speedup.”

 Oct 2015


the strongest evidence yet to support the most fundamental claims of the theory of quantum mechanics about the existence of an odd world formed by a fabric of subatomic particles, where matter does not take form until it is observed and time runs backward as well as forward.

 Feb 2014

empslocal.ex.ac.uk empslocal.ex.ac.uk

The mathematics of almost all eigenvalue problems encountered in wave physics is essentially the same, but the richest source of such problems is quantum mechanics, where the eigenvalues are the energies of stationary states ("levels"), rather than frequencies as in acoustics or optics, and the operator is the hamiltonian.
