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Associating a physical process with the pure entangled state 1/sqrt 2 (|00> + |11>) is an idealization unless the pair is so prepared using an appropriate quantum gate operating on a known state. Questions related to the reference frame for…

量子物理 · 物理学 2007-05-23 Subhash Kak

Dual-unitary circuits are a class of locally-interacting quantum many-body systems displaying unitary dynamics also when the roles of space and time are exchanged. These systems have recently emerged as a remarkable framework where certain…

统计力学 · 物理学 2023-07-04 Alessandro Foligno , Bruno Bertini

A simplified expression of concurrence for two-qubit mixed state having no more than three non-vanishing eigenvalues is obtained. Basing on SU(2) coherent states, the amount of entanglement of two-qubit pure states is studied and conditions…

量子物理 · 物理学 2012-04-06 S. Salimi , A. Mohammadzade , K. Berrada

We investigate theoretically the implementation of two-qubit gates in a system of two coupled superconducting qubits. In particular, we analyze two-qubit gate operations under the condition that the coupling strength is comparable to or…

量子物理 · 物理学 2015-03-19 Xin-You Lü , S. Ashhab , Wei Cui , Rebing Wu , Franco Nori

We show that any essential application of an $n$-qubit C-SIGN or related quantum gate $G$ leaves its qubits everywhere entangled, provided they were not everywhere entangled to begin with. By ``essential'' we mean roughly that $G$ is not…

量子物理 · 物理学 2019-10-04 Stephen A. Fenner

We demonstrate that conditional as well as unconditional basic operations which are prerequisite for universal quantum gates can be performed with almost 100% fidelity within a strongly interacting two-electron quantum ring. Both sets of…

介观与纳米尺度物理 · 物理学 2016-08-14 Lene Sælen , Erik Waltersson , J. P. Hansen , Eva Lindroth

While the question ``how many CNOT gates are needed to simulate an arbitrary two-qubit operator'' has been conclusively answered -- three are necessary and sufficient -- previous work on this topic assumes that one wants to simulate a given…

量子物理 · 物理学 2007-05-23 Vivek V. Shende , Igor L. Markov

A new form of local unitary (LU) transformation invariant is given for multi-qubit states . The general relation between tangle and the LU transformation invariant of pure three and four-qubit states is given. We find that the tangle…

量子物理 · 物理学 2014-04-22 Xin-wei Zha , Yun-Guang Zhang , Jian-Xia Qi , Hai-Yang Song

Quantum algorithms on near-term quantum processors are typically executed using shallow quantum circuits composed of one- and two-qubit gates. However, as circuit depth and gate number increase, gate imperfections and qubit decoherence…

We demonstrate that for every two-qubit state there is a X-counterpart, i.e., a corresponding two-qubit X-state of same spectrum and entanglement, as measured by concurrence, negativity or relative entropy of entanglement. By parametrizing…

量子物理 · 物理学 2014-09-18 Paulo E. M. F. Mendonca , Marcelo A. Marchiolli , Diógenes Galetti

We introduce an entanglement-related quantity that we call the binegativity. Based on numerical evidence, we conjecture that the binegativity is an entanglement measure for two-qubit states. The binegativity is compared to the concurrence…

量子物理 · 物理学 2017-02-13 Mark W. Girard , Gilad Gour

Bipartite operations underpin both classical communication and entanglement generation. Using a superposition of classical messages, we show that the capacity of a two-qubit operation for error-free entanglement-assisted bidirectional…

量子物理 · 物理学 2007-05-23 Dominic W. Berry , Barry C. Sanders

In this Letter we present a new quantity that shows whether two general qubit systems are entangled, which we call harmony. It captures the notion of separability and maximal entanglement. It is also shown that harmony is monogamous for…

量子物理 · 物理学 2019-06-25 Kento Osuga , Don N. Page

A necessary and sufficient condition of the possibility of a deterministic local operations and classical communication (LOCC) transformation of three-qubit pure states is given. The condition shows that the three-qubit pure states are a…

量子物理 · 物理学 2015-05-20 Hiroyasu Tajima

Quite recently, Cai et al. [arXiv:2006.07165v1] proposed a new concept "absolutely entangled set" for bipartite quantum systems: for any possible choice of global basis, at least one state of the set is entangled. There they presented a…

量子物理 · 物理学 2020-11-11 Mao-Sheng Li , Man-Hong Yung

We demonstrate complete characterization of a two-qubit entangling process - a linear optics controlled-NOT gate operating with coincident detection - by quantum process tomography. We use maximum-likelihood estimation to convert the…

The optimal entanglement manipulation for a single copy of mixed states of two qubits is to transform it to a Bell diagonal state. In this paper we derive an explicit form of the local operation that can realize such a transformation. The…

量子物理 · 物理学 2009-11-07 Li-Xiang Cen , Nan-Jian Wu , Fu-Hua Yang , Jun-Hong An

In quantum systems, entanglement corresponds to nonclassical correlation of nonlocal observables. Thus, entanglement (or, to the contrary, separability) of a given quantum state is not uniquely determined by properties of the state, but may…

量子物理 · 物理学 2012-05-21 Iacopo Pozzana

We develop a unitary dependence theory to characterize the behaviors of quantum circuits and states in terms of how quantum gates manipulate qubits and determine their measurement probabilities. A qubit has dependence on a 1-qubit unitary…

量子物理 · 物理学 2022-04-07 Zixuan Hu , Sabre Kais

Entanglement and Bell nonlocality are used to describe quantum inseparabilities. Bell-nonlocal states form a strict subset of entangled states. A natural question arises concerning how much territory Bell nonlocality occupies entanglement…

量子物理 · 物理学 2019-09-04 Xiao-Gang Fan , Zhi-Yong Ding , Fei Ming , Huan Yang , Dong Wang , Liu Ye