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How Can One Measure Quantum Entanglement

Prashanna Simkhada, Jean-François S. Van Huele

Bulletin of the American Physical SocietyOct 22, 20110 citations

Measures and dynamics of entanglement

Andreas Buchleitner

Quantum information technology largely relies on a precious and fragile resource, quantum entanglement, a highly nontrivial manifestation of the coherent superposition of states of composite quantum systems. However, our knowledge on the time evolution of this resource under realistic conditions, when corrupted by environment-induced decoherence, is hitherto rather limited, and general statements on entanglement dynamics in open systems are scarce. The lecture will start from a short recollection of the basic elements of entanglement theory for finite dimensional composite mixed quantum states, spell out the central difficulties for the formulation of a general theory, and then address various aspects of open system entanglement dynamics in variable dimensions. Also the issue of direct experimental probing of the entanglement inscribed into an unknown mixed quantum state will be briefly discussed.Quantum information technology largely relies on a precious and fragile resource, quantum entanglement, a highly nontrivial manifestation of the coherent superposition of states of composite quantum systems. However, our knowledge on the time evolution of this resource under realistic conditions, when corrupted by environment-induced decoherence, is hitherto rather limited, and general statements on entanglement dynamics in open systems are scarce. The lecture will start from a short recollection of the basic elements of entanglement theory for finite dimensional composite mixed quantum states, spell out the central difficulties for the formulation of a general theory, and then address various aspects of open system entanglement dynamics in variable dimensions. Also the issue of direct experimental probing of the entanglement inscribed into an unknown mixed quantum state will be briefly discussed.

OSA Workshop on Entanglement and Quantum DecoherenceJan 1, 20080 citations

Analysis of Quantum Evolutions; Entanglement, Entanglement Measures and Dynamics

Chapman & Hall/CRC applied mathematics and nonlinear science seriesAug 3, 20070 citations

Quantifying dynamical coherence with coherence measures

Sunho Kim, Chunhe Xiong, Asutosh Kumar +2 more

Quantum coherence, like entanglement, is a fundamental resource in quantum information. In recent years, remarkable progress has been made in formulating resource theory of coherence from a broader perspective. The notions of block-coherence and POVM-based coherence have been established. Certain challenges, however, remain to be addressed. It is difficult to define incoherent operations directly, without requiring incoherent states, which proves a major obstacle in establishing the resource theory of dynamical coherence. In this paper, we overcome this limitation by introducing an alternate definition of incoherent operations induced via coherence measures and quantify dynamical coherence based on this definition. Finally, we apply our proposed definition to quantify POVM-based dynamical coherence.Quantum coherence, like entanglement, is a fundamental resource in quantum information. In recent years, remarkable progress has been made in formulating resource theory of coherence from a broader perspective. The notions of block-coherence and POVM-based coherence have been established. Certain challenges, however, remain to be addressed. It is difficult to define incoherent operations directly, without requiring incoherent states, which proves a major obstacle in establishing the resource theory of dynamical coherence. In this paper, we overcome this limitation by introducing an alternate definition of incoherent operations induced via coherence measures and quantify dynamical coherence based on this definition. Finally, we apply our proposed definition to quantify POVM-based dynamical coherence.

arXiv:2104.00003Physical Review AJul 2, 202110 citations

Properties of entanglement in interacting spin systems

Rosario Fazio, Chiara Macchiavello

Abstract We briefly review recent work on entanglement with particular emphasis on its behaviour in interacting spin systems. As already pointed out by several authors a general understanding of the properties of entanglement in condensed matter systems may lead to a deeper comprehension of both dynamics and thermodynamics of many‐body systems. After a brief resume of known means to identify and quantify entanglement, we take interacting spins on a network as an example. We briefly discuss critical properties of entanglement, if the system undergoes a quantum phase transition, and some aspects of its dynamical behaviour.Abstract We briefly review recent work on entanglement with particular emphasis on its behaviour in interacting spin systems. As already pointed out by several authors a general understanding of the properties of entanglement in condensed matter systems may lead to a deeper comprehension of both dynamics and thermodynamics of many‐body systems. After a brief resume of known means to identify and quantify entanglement, we take interacting spins on a network as an example. We briefly discuss critical properties of entanglement, if the system undergoes a quantum phase transition, and some aspects of its dynamical behaviour.

Annalen der PhysikFeb 2, 20050 citations

ON THE DYNAMICS OF ENTANGLEMENT AND CHARACTERIZATION OF ENTANGLING PROPERTIES OF QUANTUM EVOLUTIONS

Miłosz R. Michalski

Quantum Bio-InformaticsFeb 1, 20090 citations

Measures and dynamics of entanglement

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