Journal•ISSN: 1533-7146
Quantum Information & Computation
Rinton Press
About: Quantum Information & Computation is an academic journal published by Rinton Press. The journal publishes majorly in the area(s): Quantum computer & Quantum algorithm. It has an ISSN identifier of 1533-7146. Over the lifetime, 1240 publications have been published receiving 34917 citations. The journal is also known as: QIC & Quantum information and computation.
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TL;DR: The theory of entanglement measures is reviewed, concentrating mostly on the finite dimensional two-party case, and an exteneive list of open research questione will be presented.
Abstract: We review the theory of entanglement measures, concentrating mostly on the finite dimensional two-party case. Topics covered include: single-copy and asymptotic entanglement manipulation; the entanglement of formation; the entanglement cost; the distillable entanglement; the relative entropic measures; the squashed entanglement; log-negativity; the robustness monotones; the greatest cross-norm; uniqueness and extremality theorems. Infinite dimensional systems and multi-party settings will be discussed and an exteneive list of open research questione will be presented.
1,045 citations
TL;DR: The freedom in representations with and without translation symmetry are determined, derive respective canonical forms and provide efficient methods for obtaining them.
Abstract: This work gives a detailed investigation of matrix product state (MPS) representations for pure multipartite quantum states. We determine the freedom in representations with and without translation symmetry, derive respective canonical forms and provide efficient methods for obtaining them. Results on frustration free Hamiltonians and the generation of MPS are extended, and the use of the MPS-representation for classical simulations of quantum systems is discussed.
942 citations
TL;DR: In this paper, the authors prove the security of the Bennett-Brassard (BB84) quantum key distribution protocol in the case where the source and detector are under the limited control of an adversary.
Abstract: We prove the security of the Bennett-Brassard (BB84) quantum key distribution protocol in the case where the source and detector are under the limited control of an adversary. Our proof applies when both the source and the detector have small basis-dependent flaws, as is typical in practical implementations of the protocol. We derive a general lower bound on the asymptotic key generation rate for weakly basis-dependent eavesdropping attacks, and also estimate the rate in some special cases: sources that emit weak coherent states with random phases, detectors with basis-dependent efficiency, and misaligned sources and detectors.
604 citations
TL;DR: The current understanding of entanglement of formation and the related concept of concurrence is reviewed, including discussions of additivity, the problem of finding explicit formulas, and connections between concurrence and other properties of bipartite states.
Abstract: Entanglement of formation is one of three widely studied measures of entanglement of a general bipartite system This paper reviews our current understanding of entanglement of formation and the related concept of concurrence, including discussions of additivity, the problem of finding explicit formulas, and connections between concurrence and other properties of bipartite states
584 citations