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We consider decision problems on finite sets of hypotheses represented by pairwise different shift-invariant states on a quantum spin chain. The decision in favor of one of the hypotheses is based on ...
We consider symmetric hypothesis testing in quantum statistics, where the hypotheses are density operators on a finite-dimensional complex Hilbert space, representing states of a finite quantum system...
We consider the problem of discriminating between two different states of a finite quantum system in the setting of large numbers of copies, and find a closed form expression for the asymptotic expone...
Let S be a monoidal category with equalizers that are preserved by the tensor product. The notion of categories internal to S is defined, generalizing the notions of monoid and comonoid in S, and ex...
The classical identities between the q-binomial coefficients and factorials can be gener- alized to a context where numbers are replaced by braids. More precisely, for every pair i, n of natural num...
The interest in post-quantum cryptography --- classical systems that remain secure in the presence of a quantum adversary --- has generated elegant proposals for new cryptosystems. Some of these syste...
Many experiments have shown that quantum entanglement is physically real. In this paper, we will discuss its ontological origin, implications and applications by thinking outside the standard interpre...
In this paper, the quantum logical ‘or’ is analyzed from a physical perspective. We show that it is the existence of EPR-like correlation states for the quantum mechanical entity under consideration...
By explicitly discussing the connections between quantum mechanics and consciousness and bravely using the book containing these discussions as course material for students, the authors show the reade...
This paper introduces a fast spectral algorithm for the quantum Boltzmann collision operator. In the usual spectral framework, one of the terms in the operator cannot be evaluatedefficiently. The new ...
We consider a regularized Wigner equation with an oscillatory kernel, the regularization acts in the space variable to damp high frequencies. The oscillatory kernel is directly derived from the Schrod...
An electronics technology that uses the “spin”—or magnetization—of atomic nuclei to store and process information promises huge gains in performance over today’s electron-based devices. But getting th...
Putting a hole in the center of the donut—a mid-nineteenth-century invention—allows the deep-fried pastry to cook evenly, inside and out. As it turns out, the hole in the center of the donut also hold...
2015年1月,中国科学院自然科学史研究所副研究员高山主编的英文论文集《保护性测量与量子实在》由剑桥大学出版社出版。该论文集是为纪念1993 年Yakir Aharonov,Lev Vaidman和Jeeva Anandan发现的一种新的量子测量方法——“保护性测量”距今20周年而做。利用“保护性测量”这种方法,可以直接测量出单个量子系统的波函数,对保护性测量的哲学分析可能会导致量子力学的一种新的...
Revisiting the Quantum Discontinuity.

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