Complete complementarity relations for multipartite pure states
arXiv:2005.00930 · doi:10.1088/1751-8121/abc361
Abstract
Complementarity relations for wave-particle duality are saturated only for pure, single-quanton, quantum states. For a completely incoherent state, it is known that wave and particle quantifiers can reach zero, and hence no information about the wave and particle aspects of the system can be obtained. This means that the information is being shared with another systems, and quantum correlations can be seen as responsible for the loss of purity of the quanton, provided that the quanton is part of a multipartite pure quantum system. In this paper, by exploring the purity of bi- and tri-partite pure quantum states, we show that it is possible to obtain complete complementarity relations. This procedure allows us to create a general framework for obtaining complete complementarity relations for a subsystem that belongs to an arbitrary multi-partite quantum system in a pure state. Besides, by some simple examples, we show that if the predictability measure is changed then the correlation measure must also be changed in order to obtain complete complementarity relations for pure cases.
arXiv comment13 pages, 6 figures. Accepted for publication in Journal of Physics A: Mathematical and Theoretical
References in corpus (32)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Introducing Quantum Discord
- Three qubits can be entangled in two inequivalent ways
- Quantifying Coherence
- Distributed Entanglement
- Quantifying Entanglement
- Universal state inversion and concurrence in arbitrary dimensions
- Characterizing Entanglement
- Measures and applications of quantum correlations
- Quantum coherence in multipartite systems
- Duality of Quantum Coherence and Path Distinguishability
- Relations between coherence and path information
- A Unified View of Quantum Correlations and Quantum Coherence
- Three-qubit pure-state canonical forms
- Maximally coherent mixed states: Complementarity between maximal coherence and mixedness
- Three-tangle for mixtures of generalized GHZ and generalized W states
- Wave-particle duality: an information-based approach
- Entropic framework for wave-particle duality in multipath interferometers
- Duality games and operational duality relations
- Turning off quantum duality
- Generalized concurrence measure for faithful quantification of multiparticle pure state entanglement using Lagrange's identity and wedge product
- Multipartite entanglement measure for all discrete systems
- Coherence, Interference and Visibility
- Path Predictability and Quantum Coherence in Multi-Slit Interference
- Decoherence and Visibility Enhancement in Multi-Path Interference
- Quantitative wave-particle duality relations from the density matrix properties
- Complementarity relations for multi-qubit systems
- Genuine Distributed Coherence
- Hilbert-Schmidt quantum coherence in multi-qudit systems
- Coherence distribution in multipartite systems
- The Duality in Quantum Work
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- One-particle and two-particle visibilities in bipartite entangled Gaussian states
- An Updated Quantum Complementarity Principle
- Quantum eraser from duality--entanglement perspective
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