We argue with claims of the paper [Agostini F., Caprara S. and Ciccotti G., Europhys. Lett. EPL, 78 (2007) Art. 30001, 6] that the quantum-classic bracket introduced in [arXiv:quant-ph/0506122] produces "artificial coupling" and has "genuinely classical nature".
Keywords: p-mechanics, quantum, classic, commutator, Poisson bracket, mixing, coupling, semi-classical
Comment on "Nongeometric Conditional Phase Shift via Adiabatic Evolution of Dark Eigenstates: A New Approach to Quantum Computation"
在[Phys. Rev. Lett. 95,080502(2005)],Zheng提出了一种通过绝热通道实现条件相移的方案。作者声称,门是“既不是动力学的,也不是几何起源”的理由是,汉密尔顿不遵循循环变化。他进一步指出:“与绝热几何门相比,不需要非平凡的循环回路,从而避免了在获得所需立体角时的误差,这使得这种新的相位门优于几何门。本文指出几何运算,包括绝热完整性,都可以由非循环哈密顿算子导出,并证明了郑门是几何的。我们还认为,负责相移的非平凡环路是存在的,它需要与任何绝热几何门相同的精度。
Comment on ``Quasienergy anholonomy and its application to adiabatic quantum state manipulation''
在他的信[A]。Tanaka和M. Miyamoto,Phys. Rev. Lett. 98,160407(2007)],Tanaka和Miyamoto引入了一个踢旋模型,指出了奇异特征值非完整性的普遍存在性。他们继续展示了该模型在量子态操纵和量子信息处理方面的潜在效用。虽然我们认为他们的模式是不同的有用的,他们的论点是启发性的,在我们看来,有三个缺失的因素,在文章中,没有他们的讨论似乎是不完整的,应用前景有限。它们是关于动力学相、规范势和绝热性的。
Comment on Nongeometric Conditional Phase Shift via Adiabatic Evolution of Dark Eigenstate
在最近的一封信[Phy。Rev. Lett. 95,080502(2005)],声称基于既不是动力学的也不是几何的波函数的新型量子力学相位,发现了用于量子计算的新型相位门。这个阶段的起源是一个黑暗的状态的绝热演化。我想指出,这些说法是有问题的。所谓的新相位门是基于一个相位,这并不是什么新鲜事,但已经知道了几十年。它是没有物理意义的东西,也是不可观察的。也有人指出,[quant-ph/0509150 v1][Phy. Rev. Lett. 95,080502(2005)]是不正确的,并且相位是已知的几何相位。在这里,我们提出了一个完全不同的论点。
A critique to the article by C.A. Fuchs, N.D. Mermin, and R.Schack, "An introduction to QBism with and application to the locality of quantum mechanics" that appeared in Am. J. Phys. 82 (8), 749-754 (2014)
In the posting arXiv:2101.11052v2 an experimental protocol involving two spins is proposed, which should show violation of energy conservation in a quantum experiment. In the present comment an unjustified mathematical approximation leading to that conclusion is pointed out. A detailed analysis will restore energy conservation.
We comment on the paper "Critique and correction of the currently accepted solution of the infinite spherical well in quantum mechanics" by Huang Young-Sea and Thomann Hans-Rudolph, EPL 115, 60001 (2016) .
The authors of the recent paper [1] boldly claim to discover a new fully quantum approach to foundation of statistical mechanics: "Our conceptually novel approach is free of mathematically ambiguous notions such as probability, ensemble, randomness, etc." The aim of this note is to show that this approach is neither specific for quantum systems nor really conceptually different from the standard textbook arguments supporting microcanonical or canonical ensembles in statistical mechanics.
This is a comment to the paper, Limitations on the superposition principle: superselection rules in non-relativistic quantum mechanics by C Cisneros et al 1998 Eur. J. Phys. 19 237. doi:10.1088/0143-0807/19/3/005. The proof that the authors construct for the limitation on the superposition of state vectors corresponding to different sectors of the Hilbert space, partitioned by a superoperator has a flaw as outlined below.
Ben-Israel and Vaidman (Found Phys (2017). doi:10.1007/s10701-017-0071-x) have raised objections to my arguments that there are cases where a quantum mechanical weak value can be said not to represent the system to which it pertains. They are correct in pointing out that some of my conclusions were too general. However, for weak values of projection operators my conclusions still stand.
Svensson [Found. Phys. 45, 1645 (2015)] argued that the concept of the weak value of an observable of a pre- and post-selected quantum system cannot be applied when the expectation value of the observable in the initial state vanishes. Svensson's argument is analyzed and shown to be inconsistent using several examples.
Comment on `Detecting non-Abelian geometric phases with three-level $Λ$ systems'
在Yan-Xiong Du等人[Phys. Rev. A 84,034103(2011)]的最近论文中,他们声称已经发现了与大失谐$Λ$三能级系统的能量本征态相关的非阿贝尔绝热几何相位。他们进一步提出了一个测试,以检测这个几何相位的非交换功能。相反,我们发现在绝热近似下,由$Λ$系统的能量本征态提取的非阿贝尔几何相位是微不足道的,而在时间演化的精确处理中,这个相位非常小,不能从沿参数空间路径获得的非阿贝尔动力学相位中分离出来.
The purpose of this comment is to show that a reinterpretation of the results from the Letter: "Physics and Metaphysics of Wigner's Friends: Even performed pre-measurements have no results" allows for reaching the conclusion "pre-measurements have no resul" [arXiv:2003.07464] based only on postulates of quantum mechanics without additional assumptions on irreversibility. Additionally, with supplementary reasoning based on Bell's theorem, one can show that unitary decoherence cannot be solely responsible for the quantum-to-classical transition, and an additional irreversibility model is require…
Reply to the "Comment on 'Contextuality within quantum mechanics manifested in subensemble mean values[Phys. Lett. A 373(2009)3430, arXiv:0912.3570]' "
Adiabatic process has found many important applications in modern physics, the distinct merit of which is that it does not need accurate control over the timing of the process. However, it is a slow process, which limits the application in quantum computation, due to the limited coherent times of typical quantum systems. Here, we propose a scheme to implement quantum state conversion in opto-electro-mechanical systems via shortcut to adiabaticity, where the process can be greatly speeded up while the precise timing control is still not necessary. In our scheme, only by modifying the coupling s…
In Phys. Rev. A 101, 022117 (2020), it was argued that Bell inequalities are based on classical, not quantum, physics, and hence their violation in experiments provides no support for the claimed existence of peculiar nonlocal and superluminal influences in the real (quantum) world. This Reply to Lambare's Comment, Phys. Rev. A 104, 066201 (2021), on that paper seeks to clarify some issues related to the correct use of Hilbert space quantum mechanics for identifying the microscopic causes of later macroscopic measurement outcomes, a matter not properly addressed by Bell, who used classical hid…
The view exists that the Bell inequality is a mere inconsistent application of classical concepts to a well-established quantum world. In the article, ``Nonlocality claims are inconsistent with Hilbert-space quantum mechanics'' [Phys. Rev. A, 101, 022117, (2020)], Robert B. Griffiths advocates for quantum theory's locality. Although R. B. Griffiths presents valuable insights in favor of quantum mechanics' local character, he argues the Bell inequality is an inconsistent application of classical physics to quantum mechanics. We explain why a correct assessment of the Bell inequality does not in…
Hypergraph Ramsey Numbers and Adiabatic Quantum Algorithm
Gaitan和Clark [Phys. Rev. Lett. 108,010501(2012)]最近提出了一种使用绝热量子演化计算拉姆齐数R(m,n)的量子算法。我们认为r-一致超图的双色Ramsey数R(m,n; r)可以用[Phys. Rev. Lett. 108,010501(2012)]。在这篇评论中,我们展示了如何计算R(m,n; r)可以映射到一个组合优化问题,其解决方案被发现使用绝热量子演化。
In an article published in 2010, Kiukas and Werner claim to have shown that Bohmian Mechanics does not make the same empirical predictions as ordinary Quantum Mechanics. We explain that such claim is wrong.