I am not sure, but the title is great.
I'm not against this idea; but what's the point? Clearly it's to provide some benefit to efficient implementation of particular procedures in Quil, but it'd be nice to see some detail of that, and how this might matter outside of Quil.
great！
This is an awesome paper; great work! :)
Paper source repository is here https://github.com/CQuIC/NanofiberPaper2014
Comments can be submitted as an issue in the repository. Thanks!
Here is a work in related direction: "Unification of Bell, Leggett-Garg and Kochen-Specker inequalities: Hybrid spatio-temporal inequalities", Europhysics Letters 104, 60006 (2013), which may be relevant to the discussions in your paper. [https://arxiv.org/abs/1308.0270]
Welcome to give the comments for this paper!
I am confortable with it. Good job
Well done
The initial version of the article does not adequately and clearly explain how certain equations demonstrate whether a particular interpretation of QM violates the no-signaling condition.
A revised and improved version is scheduled to appear on September 25.
What does this imply for https://scirate.com/arxiv/1608.00263? I'm guessing they still regard it as valid (it is ref [14]), but just too hard to implement for now.
Oh look, there's another technique for decoding surface codes subject to X/Z correlated errors: https://scirate.com/arxiv/1709.02154
The paper only applies to conformal field theories, and such a result cannot hold for more general 1-D systems by 0705.4077 and other papers (assuming standard complexity theory conjectures).
Thanks for the clarification, Philippe!
...(continued)Hi Felix, thanks for the good question.
We've found it more convenient to consider trace-nonincreasing and $\Gamma$-sub-preserving maps (and this is justified by the fact that they can be dilated to fully trace-preserving and $\Gamma$-preserving maps on a larger system). The issue arises because
What is the reason/motivation to consider trace-non-increasing maps instead of trace-preserving maps in your framework and the definition of the coherent relative entropy?
Thanks for the reference Ashley. If I understand your paper, you are still measuring stabilizers of X- and Z-type at the top layer of the code. So it might be that we can improve on the factor of 2 that you found if we tailor the stabilizers to the noise bias at the base level.
...(continued)We followed Aliferis and Preskill's approach in [https://arxiv.org/abs/1308.4776][1] and found that the fault-tolerant threshold for the surface code was increased by approximately a factor of two, from around 0.75 per cent to 1.5 per cent for a bias of 10 to 100.
[1]: https://arxiv.org/abs/1308.
...(continued)Following on from Steve's comments, it's possible to use the bias-preserving gate set in Aliferis and Preskill directly to do the syndrome extraction, as you build up a CNOT gadget, but such a direct application of your methods would be very complicated and involve a lot of gate teleportation. If y
...(continued)We agree that finding good syndrome extraction circuits if an important question. At the moment we do not have such circuits, though we have started to think about them. We are optimistic that this can be done in principle, but it remains to be seen if the circuits can be made sufficiently simple to
...(continued)Hi Steves and David. When we wrote https://arxiv.org/abs/0710.1301 our viewpoint was that a gate with highly biased (primarily Z) noise would need to commute with Z. So we built our fault-tolerant gadgets from such gates, along with preparations and measurements in the X basis.
Can you easily ext
We haven't tried the Wen model yet. We thought about doing it, but decided to try this first. When it worked as well as it did we just didn't bother trying the Wen model, but it's a natural question, and I am curious about the answer.
Seems so obvious now you say it! Well done for trying this out.
Do you know how the results compare to Wen style stabilizers, where both plaquette and vertex stabilizers alternate between two Paulis? I guess using Y and Z would be best for biased noise, given your results.
...(continued)Wanted to let you know this paper has been updated with new technical results. In particular, we have provided a new section which gives a generalization of [local asymptotic normality](https://en.wikipedia.org/wiki/Local_asymptotic_normality) that is applicable to models with convex constraints (wh
+1 for "Alisha" and "Babu"! :D
...(continued)If I'm not mistaken, what you describe here is equivalent to the [QR decomposition][1]. The matrices $R_{ij}$ that act non-trivially only in a two-dimensional subspace are known as [Givens rotations][2]. The fact that any $n \times n$ unitary can be decomposed as a sequence of Givens rotations is ex
...(continued)For those interested in the literature on teleportation simulation of quantum channels, a detailed and *comprehensive* review is provided in Supplementary Note 8 of https://images.nature.com/original/nature-assets/ncomms/2017/170426/ncomms15043/extref/ncomms15043-s1.pdf
The note describes well the t
...(continued)In what sense is the ground state for large detuning ordered and antiferromagnetic? I understand that there is symmetry breaking, but other than that, what is the fundamental difference between ground states for large negative and large positive detunings? It seems to be they both exhibit some order
The performance of the memory assisted MDI-QKD with "quasi-EPR" sources is remarkable. It improves the key rate by 5 orders of magnitude over the PLOB bound at about 600 km (take a look at Figure 4).
Conway's list still has four other $1000 problems left:
https://oeis.org/A248380/a248380.pdf
I am still working on improving this survey. If you have any suggestions, questions or find any mistakes, please do not hesitate to contact me: shuai.zhang@student.unsw.edu.au.
...(continued)This paper has just been updated and we thought it would be a good
idea to advertise it here. It was originally submitted a year ago, and
it has now been essentially rewritten, with two new authors added.We have fixed some of the original results and now we:
-Show how some fundamental theorem
...(continued)Actually, there is even earlier work that shows this result. In [arXiv:1109.6887][1], Magesan, Gambetta, and Emerson showed that for any Pauli channel the diamond distance to the identity is equal to the trace distance between the associated Choi states. They prefer to phrase their results in terms
This is very interesting. In my reading list!
...(continued)In relation with the discussion at page 21 of this paper. Consider depolarizing channels (including the trivial case of the identity channel) which are teleportation covariant as in the definition Eq. (9) of https://arxiv.org/abs/1510.08863 [Nature Communications 8, 15043 (2017)]. The diamond norm b
...(continued)Since arXiv now supports supplementary material, we did not host the source externally. The easiest way to view the code is using https://nbviewer.jupyter.org: https://nbviewer.jupyter.org/urls/arxiv.org/src/1707.05088v1/anc/specdens-est.ipynb.
By the way, if you are having difficulty navigating
Thanks! Yes, I think a generalisation of this form ought to work, though I didn't work out the details.
...(continued)Nice result! It looks like the technique is easily generalizable to qudits, isn't it, by replacing the bell states with $|b_{ij}\rangle = (X^iZ^j \otimes I) \frac{1}{\sqrt{D}}\sum_{k=0}^{D-1}|kk>$, where $X|i\rangle=|i\oplus1>$ and $Z|i\rangle=\omega^i|i\rangle$? Fo course $\mathbb{F}_2^n$ will beco
...(continued)Even if we kickstart evolution with bacteria, the amount of time until we are capable of von Neumann probes is almost certainly too small for this to be relevant. See for instance [Armstrong & Sandberg](http://www.sciencedirect.com.proxy.lib.uwaterloo.ca/science/article/pii/S0094576513001148). It
Wow, from one-way QC to AI! :)
It has been [published][1]
[1]: https://link.springer.com/article/10.1007/s10509-016-2911-0
Ah yes I see, thank you for the clarification!
...(continued)Hi Kenneth, more precisely that plot is for a particular "Pauli-damping" channel, i.e., a qubit channel that is decomposable into a Pauli channel (1) and an amplitude damping channel (2). This "Pauli-damping" channel can be simulated by performing noisy teleportation over a resource state that corre
Interesting work! I was wondering, how do the new upper bounds for the amplitude-damping channel in Fig. 2 compare to previous bounds?
...(continued)The secret-key capacity of the pure-loss channel -log(1-t) was proven in [9], not in the follow-up work [13] (which appeared 4 months later). Ref. [13] found that this capacity is also a strong converse bound, which is Eq. (1) here. Same story for Eq. (4) that was proven in [9], not in [13]. Again t
I have posted an open review of this paper here: https://github.com/csferrie/openreviews/blob/master/arxiv.1703.09835/arxiv.1703.09835.md
...(continued)Updated summary [here](https://github.com/eddiesmo/papers).
# How they made the dataset
- collect youtube videos
- automated filtering with yolo and landmark detection projects
- crowd source final filtering (AMT - give 50 face images to turks and ask which don't belong)
- quality control through s
...(continued)Yes, that's right, thanks!
For (5), you use the Cauchy-Schwarz inequality $\left| \operatorname{tr}(X^\dagger Y) \right| \leq \sqrt{\operatorname{tr}(X^\dagger X)} \sqrt{\operatorname{tr}(Y^\dagger Y)}$ for the Hilbert-Schmidt inner product $\langle X,Y\rangle := \operatorname{tr}(X^\dagger Y)$ wi
Braneshop, and
the US National Science Foundation.
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