Exploring entanglement in the context of quantum sensing

John M. Myers; Tai Tsun Wu

doi:10.1117/12.818723

27 April 2009 Exploring entanglement in the context of quantum sensing

John M. Myers, Tai Tsun Wu

Proceedings Volume 7342, Quantum Information and Computation VII; 734206 (2009) https://doi.org/10.1117/12.818723
Event: SPIE Defense, Security, and Sensing, 2009, Orlando, Florida, United States

Abstract

Motivated by an interest in quantum sensing, we define carefully a degree of entanglement, starting with bipartite pure states and building up to a definition applicable to any mixed state on any tensor product of finite-dimensional vector spaces. For mixed states the degree of entanglement is defined in terms of a minimum over all possible decompositions of the mixed state into pure states. Using a variational analysis we show a property of minimizing decompositions. Combined with data about the given mixed state, this property determines the degrees of entanglement of a given mixed state. For pure or mixed states symmetric under permutation of particles, we show that no partial trace can increase the degree of entanglement. For selected less-than-maximally-entangled pure states, we quantify the degree of entanglement surviving a partial trace.

Citation Download Citation

John M. Myers and Tai Tsun Wu "Exploring entanglement in the context of quantum sensing", Proc. SPIE 7342, Quantum Information and Computation VII, 734206 (27 April 2009); https://doi.org/10.1117/12.818723

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