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We overview a web of conjectures about torsors under reductive groups over regular rings and survey some techniques that have been used for making progress on such problems.

Algebraic Geometry · Mathematics 2025-05-06 Kestutis Cesnavicius

In this letter, two different probabilistic teleportations of a two-particle entangled state by pure entangled three-particle state are shown. Their successful probabilities are different.

Quantum Physics · Physics 2009-11-06 Bao-Sen Shi , Yun-Kun Jiang , Guang-Can Guo

We argue that the claim given in quant-ph/9801014 remains untenable in the revised version. The fallacy in the proof is a misinterpretation of the no-cloning and teleportation theorems, which do not involve time and reference frames.

Quantum Physics · Physics 2007-05-23 Vladimir S. Mashkevich

A numerical thought experiment with two momentum correlated particles is presented, in which particle A passes through a series of zig-zagging slits and particle B moves unobstructedly. It is shown that, if particle A's meandering path is…

General Physics · Physics 2016-11-18 Johann Summhammer

In this paper, we use two-variable Laurent polynomials attached to matrices to encode properties of compositions of sequences. The Lagrange identity in the ring of Laurent polynomials is then used to give a short and transparent proof of a…

Combinatorics · Mathematics 2017-12-05 Akihiro Munemasa , Pritta Etriana Putri

Recently, entanglement teleportation has been investigated in Phys. Rev. Lett. 84, 4236 (2000). In this paper we study entanglement teleportation via two separate thermally entangled states of two-qubit Heisenberg XX chain. We established…

Quantum Physics · Physics 2013-05-29 Ye Yeo

In the literature, we have several results associated with canonical decomposition of commuting contractions. In this paper, we generalize a few of these results to $Q$-commuting contractions. Here we mainly deal with $Q$-commuting and…

Functional Analysis · Mathematics 2024-07-30 Sourav Pal , Prajakta Sahasrabuddhe , Nitin Tomar

Quantum computing and quantum communication are remarkable examples of new information processing technologies that arise from the coherent manipulation of spins in nanostructures. We review our theoretical proposal for using electron spins…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Michael N. Leuenberger , Daniel Loss

Generating high-quality multi-particle entanglement between communicating parties is the primary resource in quantum teleportation protocols. To this aim, we show that the natural dynamics of a single spin chain is able to sustain the…

Entanglement, one of the clearest manifestations of non-classical physics, holds significant promise for technological applications such as more secure communications and faster computations. In this paper we explore the use of…

Quantum Physics · Physics 2024-02-14 Karl Pelka , Matteo Aquilina , André Xuereb

When an initially entangled pair of qubits undergoes local decoherence processes, there are a number of ways in which the original entanglement can spread throughout the multipartite system consisting of the two qubits and their…

Distributed quantum computation is a practical method for large-scale quantum computation on quantum processors with limited size. It can be realized by direct quantum channels in flying qubits. Moreover, the pre-established quantum…

Quantum Physics · Physics 2024-09-05 Tian-Ren Jin , Kai Xu , Heng Fan

The key requirement for quantum networking is the distribution of entanglement between nodes. Surprisingly, entanglement can be generated across a network without direct transfer - or communication - of entanglement. In contrast to…

Using method of quantum trajectories we study the behavior of two identical or different superconducting qubits coupled to a quantum dissipative driven resonator. Above a critical coupling strength the qubit rotations become synchronized…

Superconductivity · Physics 2009-07-27 O. V. Zhirov , D. L. Shepelyansky

An interaction of electromagnetic field with a nanostructure composed of two quantum dots is studied theoretically. An effect of a resonant electron transfer between the localized low-lying states of quantum dots is predicted. A necessary…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Leonid A. Openov

Resonant energy transfer mechanisms have been observed in the sensitized luminescence of solids, in quantum dots and in molecular nanostructures, and they also play a central role in light harvesting processes in photosynthetic organisms.…

Quantum Physics · Physics 2009-11-07 Brendon Lovett , John H. Reina , Ahsan Nazir , Beeneet Kothari , Andrew Briggs

Efficiently detecting entanglement based on measurable quantities is a basic problem for quantum information processing. Recently, the measurable quantities called partial-transpose (PT)-moments have been proposed to detect and characterize…

Quantum Physics · Physics 2023-07-12 Lin Zhang , Yi Shen , Hua Xiang , Quan Qian , Bo Li

Recently Yu and Sun [Int. J. Theor. Phys. DOI 10.1007/s10773-014-2360-x] have presented probabilistic teleportation of 3-qubit cat state via 6-qubit cluster state. The success probability depends on absolute value of only two of the…

Quantum Physics · Physics 2014-12-25 Anindita Banerjee , Chitra Shukla

A Comment on "Space-Time Crystals of Trapped ions", by Tongcang Li et al. (PRL 109, 163001 (2012); arXiv:1206.4772

Quantum Physics · Physics 2013-08-20 Patrick Bruno
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