Recent comments from SciRate

Isn't this paper just proposing to trade circuit size for locality, e.g. replace k-many 1-local gates with a single k-local gate? Then changing the computational model to not count the cost of implementing the required k-local gates (which typically is ~k) to claim a 1/k speedup ?

Your SciNet for the current Solar System problem settles nicely in the mode of operation that is equivalent to the ,,stadard'' Heliocentric model wih positions encoded by Sun-angles relative to the fixed-stars background.

It would be very interesting to see what your SciNet would do when:

1. t

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The browser cache strikes again! :-)

Oops, I had to Shift+F5 https://arxiv.org/abs/1807.05877 in order to force my browser to ignore the cache. I also see underscores on both pages now.

When I go to https://arxiv.org/abs/1807.05877, I see an "ancillary files" list on the sidebar, in which the files are listed with underscores. Clicking them opens text files with some lovely parabolas of plus and minus signs. Going to https://arxiv.org/abs/1807.05877v1, I get exactly the same thing.

The files still contain equal signs at https://arxiv.org/abs/1807.05877, and so they fail to open. But the files contain underscores instead at https://arxiv.org/abs/1807.05877v1, so they do open. Note v1 is the only version of the paper. Definitely an arXiv bug.

Your ,,comment'' is for me the most lucid explanation of the widely known (but - it seems - not seriously taken) fact that we can save locality at the cost of einsteinian (subject independent) reality.

The way it can work is immediately aprehensible once one relizes that Alice can get to know abo

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It looks like the ancillary files have been renamed; they're accessible now.

Thanks, I will e-mail them. I posted this just to let people know that you can still access the files by other means. (The author could also solve the problem by just renaming them.)

Thanks for pointing this out! Did you let the arXiv maintainers (help@arxiv.org) know about this bug? If not, I can email them and credit you.

Seems like arXiv doesn't like ancillary files whose filename contains "=" (only the last link on [this page][1] works). But you can always download the [entire source package][2] in a single file.

[1]: https://arxiv.org/src/1807.05877v1/anc
[2]: https://arxiv.org/src/1807.05877v1

Thanks for reading the paper! I might have been able to include a couple extra steps in the derivation, but I didn't want this equation to take up too much space.

The basic idea is to expand the permutation operator $W_{1,2,3}$ as in equation (9), and then use the cyclic property of the trace op

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Hi, thank you for the nice paper! Could you clarify the second and third equalities in eqn. (11)? Particularly, I am not sure how the tensor products vanished and also why the new subscripts are in the order 1,3,2 rather than a cyclic shift of 1,2,3 as suggested by the notation (123). Have you writt

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Thank you very much for the clarification!

Thank you very much for your comment.

I'm sorry not to know the result.
However, it seems to us that the old proof does not work well,
or too ambiguous

In p.98, ' $\alpha |0\rangle|\psi_0\rangle+\beta|1\rangle|\psi_1\rangle$' is used,
but to apply Aaronson's technique, what we need is
'$\alph

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The main result of this paper has already been shown previously in [Salman Beigi's PhD thesis (2009)][1] (Appendix B, Theorem B.0.5, p.98).

[1]: https://dspace.mit.edu/handle/1721.1/50594

Wow, this must be a breakthrough! So many people joining SciRate just to upvote it! Also, very creative user names:
[BladeMaster][1],
[KameBrown][2],
[siche][3],
[skyler][4],
[snow][5],
[zy z][6].
Will Blade Runner and Queen Elsa from Frozen also be joining to upvote this?

**Update:** Looks like [B

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The group that we call "R(2)" in the paper, the "Realizable Group" is indeed generated by the physical unitaries in the left side of the table on page 2. This group, as a unitary matrix group, has 4,608 elements. However, the action on just the logical space is smaller, and there is a 4-to-1 homomor

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Thank you for this timely work explaining standard tests run on the IBM machine!

Could you clarify what you refer to as the Realizable Group in the paper? Is it generated by the gates in the "Logical Equivalent" column in the table on page 2? This seems to correlate well with the statements in t

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That's correct. Thanks for spotting it ! The correct relation should be (1/|sigma_q|)sum_sigma = (1/(d-1))(dF-1). Another typo shows up in eq 41 which has essentially the same resolution. We'll correct this on the next update.

This is really a great work.. should be implemented with all the required resources.

Nice work~ Is there any typo on the formula (33)? It seems not consistent with former average fidelity formula...

Good job

You might be interested in this: https://cs.stanford.edu/people/karpathy/convnetjs/demo/image_regression.html

Good job... The dynamic reference frame is quite an interesting topic. Can be very helpful if used to full potential.

Liked the dynamic reference frame concept.

👍👍

Very helpful article. An ensemble of classification and time series technique. Concept of lead time is also interesting.

Is the implementation of the cQASM compiler open-source and if yes, where can I find the code?

"This is a very inspiring paper! The new framework (ZR = All Reality) it provided allows us to understand all kinds of different reality technologies (VR, AR, MR, XR etc) that are currently loosely connected to each other and has been confusing to many people. Instead of treating our perceived sens

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The most important reading here is Sam Braunstein's foundational paper: https://authors.library.caltech.edu/3827/1/BRAprl98.pdf published in January 98, already containing the key results for the strong convergence of the CV protocol. This is a must-read for those interested in CV quantum informatio

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One should also consult my paper "Strong and uniform convergence in the teleportation simulation of bosonic Gaussian channels" https://arxiv.org/abs/1712.00145v4 posted in January 2018, in this context. It is published in the June 2018 issue of Physical Review A and available at https://journals.aps

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Some quick clarifications on the Braunstein-Kimble (BK) protocol for CV teleportation
and the associated teleportation simulation of bosonic channels.
(Disclaimer: the following is rather technical and CVs might not be so popular on this blog...so I guess this post will get a lot of dislikes :)

1)

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[Fredrik Johansson][1] has pointed out to me (the author) the following about the multiplication benchmark w.r.t. GMP. This will be taken into account in the upcoming revision.

Fredrik Johansson wrote:
> You shouldn't be comparing your code to `mpn_mul`, because this function is not actually th

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A very nice approach! Could you clarify the conclusion a little bit though? The aspirational goal for a quantum benchmark is to test how well we approximate a *specific* representation of a group (up to similarity transforms), whereas what your approach demonstrates is that without additional knowle

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see my 2 papers on direction of vorticity (nov1996 + feb1999) = https://www.researchgate.net/profile/Philippe_Serfati (published author, see also mendeley, academia.edu, orcid etc)

see my 4 papers, 1998-1999, on contact and superposed vortex patches, cusps (and eg splashs), corners, generalized ones on lR^n and (ir/)regular ones =. http://www.researchgate.net/profile/Philippe_Serfati/ (published author).

Related Work:

- [Performance-Based Guidelines for Energy Efficient Mobile Applications](http://ieeexplore.ieee.org/document/7972717/)
- [Leafactor: Improving Energy Efficiency of Android Apps via Automatic Refactoring](http://ieeexplore.ieee.org/document/7972807/)

Comments are appreciated. Message me here or on twitter @moreisdifferent

Code is open source and available at :
[https://github.com/delton137/PIMD-F90][1]

[1]: https://github.com/delton137/PIMD-F90

Hello again Māris, many thanks for your patience. Your comments and questions have given me much food for thought, and scope for an amended version of the paper -- please see my responses below.

Please if any of the authors of [AST17 [arXiv:1712.01609](https://arxiv.org/abs/1712.01609)] have any fu

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The Igorots built an [online community][1] that helps in the exchange, revitalization, practice, and learning of indigenous culture. It is the first and only Igorot community on the web.

[1]: https://www.igorotage.com/

This is not a direct answer to your question, but may give some intuition to formulate the problem in a more precise language. (And I simplify the discussion drastically). Consider a static slice of an empty AdS space (just a hyperbolic space) and imagine an operator which creates a particle at some

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I see. Yes, the epsilon ball issue seems to be a thorny one in the prevalent definition, since the gate complexity to reach a target state from any of a fixed set of initial states depends on epsilon, and not in a very nice way (I imagine that it's all riddled with discontinuities). It would be inte

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Thanks for the correction Abhinav, indeed I meant that the complexity of |psi(t)> grows linearly with t.

Producing an arbitrary state |phi> exactly is also too demanding for the circuit model, by the well-known argument that given any finite set of gates, the set of states that can be reached i

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Elizabeth, interesting comment! Did you mean to say that the complexity of $U(t)$ increases linearly with $t$ as opposed to exponentially?

Also, I'm confused about your definition. First, let us assume that the initial state is well defined and is $|\psi(0)\rangle $.
If you define the complexit

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The complexity of a state depends on the dynamics that one is allowed to use to generate the state. If we restrict the dynamics to be "evolving according a specific Hamiltonian H" then we immediately have that the complexity of U(t) = exp(i H t) grows exponentially with t, up until recurrences that

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Thank you Māris for the extremely well thought-out and articulated points here.

I think this very clearly highlights the need to think explicitly about the precompute time if using the lifting to directly simulate the quantum walk, amongst other things.

I wish to give a well-considered respons

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Good general review on the Golden Ratio and Fibonacci ... in physics, more examples are provided in the paper “Fine-Structure Constant from Golden Ratio Geometry,” Specifically,

$$\alpha^{-1}\simeq\frac{360}{\phi^{2}}-\frac{2}{\phi^{3}}+\frac{\mathit{A^{2}}}{K\phi^{4}}-\frac{\mathit{A^{\math

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This paper considers the problem of using "lifted" Markov chains to simulate the mixing of coined quantum walks. The Markov chain has to approximately (in the total variational distance) sample from the distribution obtained by running the quantum walk for a randomly chosen time $t \in [0,T]$ follow

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Thought I'd just comment here that we've rather significantly updated this paper.