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This paper studies the operad of linearly compatible di-algebras, denoted by $As^{2}$, which is a nonsymmetric operad encoding the algebras with two binary operations that satisfy individual and sum associativity conditions. We also prove…

环与代数 · 数学 2012-04-19 Yong Zhang

We present a scheme for hiding bits in Bell states that is secure even when the sharers Alice and Bob are allowed to carry out local quantum operations and classical communication. We prove that the information that Alice and Bob can gain…

量子物理 · 物理学 2009-11-06 Barbara M. Terhal , David P. DiVincenzo , Debbie W. Leung

We put forward an interpretation of scalar quantum field theory as relativistic quantum mechanics by curing well known problems related to locality. A probabilistic interpretation of quantum field theory similar to quantum mechanics is…

高能物理 - 理论 · 物理学 2010-12-20 W. Westra

We consider positive semidefinite kernels which have values given by bounded linear operators on certain bundles of Hilbert spaces and which are invariant under actions of $*$-semigroupoids. For these kernels, we prove that there exist…

泛函分析 · 数学 2026-02-20 Aurelian Gheondea

It is shown that when properly analyzed using principles consistent with the use of a Hilbert space to describe microscopic properties, quantum mechanics is a local theory: one system cannot influence another system with which it does not…

量子物理 · 物理学 2020-03-04 Robert B. Griffiths

Based on the new general framework for the probabilistic description of experiments, introduced in quant-ph/0305126, quant-ph/0312199, we analyze in mathematical terms the link between the validity of Bell-type inequalities under joint…

量子物理 · 物理学 2007-05-23 Elena R. Loubenets

A novel approach is suggested for the statistical description of quantum systems of interacting particles. The key point of this approach is that a typical eigenstate in the energy representation (shape of eigenstates, SE) has a well…

混沌动力学 · 物理学 2014-07-29 F. Borgonovi , G. Celardo , F. M. Izrailev , G. Casati

We propose a quantum clock synchronization protocol in which Bob makes a remote measurement on Alice's quantum clock via a third qubit acting as its proxy. It is shown that the resulting correlations are dependent on the choice of the…

量子物理 · 物理学 2007-05-23 R. Srikanth

In [Phys. Rev. Lett. 114, 250401 (2015)] the sharing of non-locality by multiple observers was demonstrated through the quantum violation of Clauser-Horne-Shimony-Halt inequality. In this paper we provide a scheme for sharing of…

量子物理 · 物理学 2020-01-29 Asmita Kumari , A. K. Pan

We study the structure of bipartite unitary operators which generate via the Stinespring dilation theorem, quantum operations preserving some given matrix algebra, independently of the ancilla state. We characterize completely the unitary…

量子物理 · 物理学 2018-07-09 Tristan Benoist , Ion Nechita

Teleportation allows Alice to send a pre-prepared quantum state to Bob using only pre-shared entanglement and classical communication. Here we show that it is possible to teleport a state which is also $\it{post}$-selected. Post-selection…

量子物理 · 物理学 2024-03-14 Daniel Collins

Bit-commitment is a fundamental cryptographic task, in which Alice commits a bit to Bob such that she cannot later change the value of the bit, while, simultaneously, the bit is hidden from Bob. It is known that ideal bit-commitment is…

量子物理 · 物理学 2018-04-11 Jamie Sikora , John Selby

A quantum mirror is a device whose optical response, that is, transmission and reflection, can be controlled by a single qubit. Here, we propose the use of quantum mirrors as nodes in quantum networks. Propagating coherent states mediate…

量子物理 · 物理学 2026-03-20 M. Uria , C. Hermann-Avigliano , P. Solano , A. Delgado

This paper illustrates a direct connection between quantum steering and non-trivial preparation contextuality. In two party-two measurement per party-two outcomes per measurement $(2-2-2)$ Bell scenario, any argument of Bell nonlocality is…

量子物理 · 物理学 2023-01-02 Prabuddha Roy , A. K. Pan

In this work, we consider the task of faithfully simulating a quantum measurement, acting on a joint bipartite quantum state, in a distributed manner. In the distributed setup, the constituent sub-systems of the joint quantum state are…

信息论 · 计算机科学 2021-10-18 Touheed Anwar Atif , S. Sandeep Pradhan

While all bipartite pure entangled states violate some Bell inequality, the relationship between entanglement and non-locality for mixed quantum states is not well understood. We introduce a simple and efficient algorithmic approach for the…

量子物理 · 物理学 2009-11-07 Barbara M. Terhal , Andrew C. Doherty , David Schwab

We explain the mechanism of the quantum speed-up - quantum algorithms requiring fewer computation steps than their classical equivalent - for a family of algorithms. Bob chooses a function and gives to Alice the black box that computes it.…

量子物理 · 物理学 2015-05-27 Giuseppe Castagnoli

In the Heisenberg picture of unitary quantum theory, Bell inequalities are violated with local elements of reality interacting locally. Here is how: Upon measuring her particle of the entangled pair, Alice -- like other coupled systems --…

量子物理 · 物理学 2025-11-25 Charles Alexandre Bédard

Quantum physics exhibits remarkable distinguishing characteristics. For example, it gives only probabilistic predictions (non-determinism) and does not allow copying of unknown state (no-cloning). Quantum correlations may be stronger than…

量子物理 · 物理学 2015-05-13 M. Pawlowski , T. Paterek , D. Kaszlikowski , V. Scarani , A. Winter , M. Zukowski

For two symmetric quantum states one may be interested in maximizing the overlap under local operations applied to one of them. The question arises whether the maximal overlap can be obtained by applying the same local operation to each…

量子物理 · 物理学 2017-02-15 Antoine Neven , Pierre Mathonet , Otfried Gühne , Thierry Bastin