Necessary conditions on effective quantum entanglement catalysts

Guo, Yu-Min; Yi, Shen; Zhao, Lei; Chen, Lin; Hu, Mengyao; Wei, Zhiwei; Fei, Shao-Ming

doi:10.1007/s11128-021-03293-9

Cited by 4 publications

(1 citation statement)

References 22 publications

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“…[52], where it was clearly shown that the catalytic effect can increase the efficiency of entanglement concentration procedures for finite quantum states. It is now well established from a variety of studies [54][55][56][57][58][59][60][61][62][63][64][65] that the existence of catalyst allows us to gather more information on the manipulation of resource states.…”

Section: Introductionmentioning

confidence: 99%

Manipulating fermionic mode entanglement in the presence of superselection rules

Tırınk¹,

Pusuluk²,

Torun³

2023

Preprint

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Superselection rules (SSRs), arising from the conservation of physical quantities such as parity or particle number, place constraints on the physical state space of fermionic mode systems. This affects the amount of extractable mode entanglement possessed in a given state and its manipulation by the so-called entanglement-free operations. Here, we present a set of majorization-based conditions for the mixed state transformations of bipartite mode entanglement, where the allowed operations (i.e., resource non-generating operations), that is, local operations and classical communication, are restricted by local SSRs. We then focus on the local parity SSR and investigate the possibility to relax the constraints imposed by it through a catalyst. In particular, we show that an ancillary mode system can catalyze the change in local parity. Finally, we discuss the application of our methodology to various problems in different fields. Accordingly, we propose that it may shed new light on the activation of orbital entanglement in chemical molecules and the manipulation of multipartite entanglement or quantum discord in distinguishable quantum systems.

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Section: Introductionmentioning

confidence: 99%

Manipulating fermionic mode entanglement in the presence of superselection rules

Tırınk¹,

Pusuluk²,

Torun³

2023

Preprint

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A generalized dominance ordering for 1/2-BPS states

Kemp

2023

J. High Energ. Phys.

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We discuss a generalized dominance ordering for irreducible representations of the symmetric group Sn with the aim of distinguishing the corresponding states in the 1/2-BPS sector of U(N) Super Yang-Mills theory when a certain finite number of Casimir operators are known. Having knowledge of a restricted set of Casimir operators was proposed as a mechanism for information loss in this sector and its dual gravity theory in AdS5 × S5. It is well-known that the states in this sector are labeled by Young diagrams with n boxes. We propose a generalization of the well-known dominance ordering of Young diagrams. Using this generalization, we posit a conjecture to determine an upper bound for the number of Casimir operators needed to distinguish between the 1/2-BPS states and thus also between their duals in the gravity theory. We offer numerical and analytic evidence for the conjecture. Lastly, we discuss implications of this conjecture when the energy n of the states is asymptotically large.

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Catalysis of entanglement and other quantum resources

Datta,

Varun Kondra,

Miller

et al. 2023

Rep. Prog. Phys.

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In chemistry, a catalyst is a substance which enables a chemical reaction or increases its rate, while remaining unchanged in the process. Instead of chemical reactions, quantum catalysis enhances our ability to convert quantum states into each other under physical constraints. The nature of the constraints depends on the problem under study and can arise, e.g., from energy preservation. This article reviews the most recent developments in quantum catalysis and gives a historical overview of this research direction. We focus on the catalysis of quantum entanglement and coherence, and also discuss this phenomenon in quantum thermodynamics and general quantum resource theories. We review applications of quantum catalysis and also discuss the recent efforts on universal catalysis, where the quantum state of the catalyst does not depend on the states to be transformed. Catalytic embezzling is also considered, a phenomenon that occurs if the catalyst's state can change in the transition.

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Necessary conditions on effective quantum entanglement catalysts

Cited by 4 publications

References 22 publications

Manipulating fermionic mode entanglement in the presence of superselection rules

Manipulating fermionic mode entanglement in the presence of superselection rules

A generalized dominance ordering for 1/2-BPS states

Catalysis of entanglement and other quantum resources

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