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Bipartite entanglement may be reduced if there are restrictions on allowed local operations. We introduce the concept of a generalized superselection rule (SSR) to describe such restrictions, and quantify the entanglement constrained by it.…

量子物理 · 物理学 2007-05-23 Stephen D. Bartlett , H. M. Wiseman

This paper concentrates on a particular example of a constraint imposed by superselection rules (SSRs): that which applies when the parties (Alice and Bob) cannot distinguish among certain quantum objects they have. This arises naturally in…

量子物理 · 物理学 2007-05-23 S. J. Jones , H. M. Wiseman , S. D. Bartlett , J. A. Vaccaro , D. T. Pope

Superselection rules severly constrain the operations which can be implemented on a distributed quantum system. While the restriction to local operations and classical communication gives rise to entanglement as a nonlocal resource,…

量子物理 · 物理学 2009-11-10 Norbert Schuch , Frank Verstraete , J. Ignacio Cirac

We consider a simple string model to explain and partly demystify the phenomenon of quantum entanglement. The model in question has nothing to do with string theory: it uses macroscopic strings that can be acted upon by Alice and Bob in…

量子物理 · 物理学 2024-04-10 Diederik Aerts , Massimiliano Sassoli de Bianchi

Superselection rules (SSRs), linked to the conservation of physical quantities such as parity or particle number, impose constraints on allowable physical operations in fermionic systems. This affects the amount of extractable mode…

量子物理 · 物理学 2024-06-04 Ömer Tırınk , Gökhan Torun , Onur Pusuluk

Non-Abelian anyons, a promising platform for fault-tolerant topological quantum computation, adhere to the charge super-selection rule (cSSR), which imposes restrictions on physically allowed states and operations. However, the…

Global conservation laws imply superselection rules (SSR) which restrict the operations that are possible on any given state. Imposing the additional constraint of local operations and classical communication (LOCC) forbids the transfer of…

量子物理 · 物理学 2013-05-07 G. A. White , J. A. Vaccaro , H. M. Wiseman

Suppose in a quantum network, there are $n$ qubits hold by Alice, Bob and Charlie, denoted by systems $A$, $B$ and $C$, respectively. We require the qubits to be described by a stabilizer state and assume the system $A$ is entangled with…

量子物理 · 物理学 2021-03-19 Changchun Zhong , Yat Wong , Liang Jiang

We study the problem of general entanglement purification protocols. Suppose Alice and Bob share a bipartite state $\rho$ which is ``reasonably close'' to perfect EPR pairs. The only information Alice and Bob possess is a lower bound on the…

量子物理 · 物理学 2007-05-23 Andris Ambainis , Ke Yang

We propose that quantum entanglement is a special sort of selection artefact, explicable as a combination of (i) collider bias and (ii) a boundary constraint on the collider variable. We show that the proposal is valid for a special class…

量子物理 · 物理学 2024-06-10 Huw Price , Ken Wharton

Suppose two distant observers Alice and Bob share a pure bipartite quantum state. By applying local operations and communicating with each other using a classical channel, Alice and Bob can manipulate it into some other states. Previous…

量子物理 · 物理学 2008-02-03 Hoi-Kwong Lo , Sandu Popescu

Most states in the Hilbert space are maximally entangled. This fact has proven useful to investigate - among other things - the foundations of statistical mechanics. Unfortunately, most states in the Hilbert space of a quantum many body…

量子物理 · 物理学 2015-05-30 Alioscia Hamma , Siddhartha Santra , Paolo Zanardi

Suppose Alice and Bob jointly possess a pure state, $|\psi\ra$. Using local operations on their respective systems and classical communication it may be possible for Alice and Bob to transform $|\psi\ra$ into another joint state $|\phi\ra$.…

量子物理 · 物理学 2009-10-31 M. A. Nielsen

The entangled quantum states play a key role in quantum information. The association of the quantum state vector with each individual physical system in an attributive way is a source of many false paradoxes and inconsistencies. The…

量子物理 · 物理学 2007-10-15 M. Kupczynski

The concept of entangled quantum states is considered in the context of systems of identical particles, based on the requirement that in order to represent physical states both for the overall system and the sub-systems which may be…

量子物理 · 物理学 2014-01-03 Bryan Dalton , Libby Heaney , John Goold , Thomas Busch , Barry Garraway

Entanglement is a central and subtle feature of quantum theory, whose structure and operational behavior can change dramatically when additional physical constraints, such as symmetries or superselection rules, are imposed. Such constraints…

量子物理 · 物理学 2026-02-19 Roberto D. Baldijão , Marco Erba , David Schmid , John H. Selby , Ana Belén Sainz

Entanglement is a key resource of quantum science for tasks that require it to be shared among participants. Within atomic, condensed matter and photonic many-body systems the distribution and sharing of entanglement is of particular…

量子物理 · 物理学 2015-11-16 Xiao-Feng Qian , Miguel A. Alonso , J. H. Eberly

In a Bell experiment two parties share a quantum state and perform local measurements on their subsystems separately, and the statistics of the measurement outcomes are recorded as a Bell correlation. For any Bell correlation, it turns out…

量子物理 · 物理学 2017-04-28 Zhaohui Wei , Jamie Sikora

We show that the classification of bi-partite pure entangled states when local quantum operations are restricted yields a structure that is analogous in many respects to that of mixed-state entanglement. Specifically, we develop this…

量子物理 · 物理学 2007-05-23 Stephen D. Bartlett , Andrew C. Doherty , Robert W. Spekkens , H. M. Wiseman

Understanding the resource consumption in distributed scenarios is one of the main goals of quantum information theory. A prominent example for such a scenario is the task of quantum state merging where two parties aim to merge their parts…

量子物理 · 物理学 2016-06-21 A. Streltsov , E. Chitambar , S. Rana , M. N. Bera , A. Winter , M. Lewenstein
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