Correlance and Discordance: Computable Measures of Nonlocal Correlation
- URL: http://arxiv.org/abs/2001.03453v2
- Date: Sat, 30 May 2020 11:20:22 GMT
- Title: Correlance and Discordance: Computable Measures of Nonlocal Correlation
- Authors: Samuel R. Hedemann
- Abstract summary: We present six new measures of nonlocal correlation for discrete multipartite quantum systems.
Correlance is exactly computable for all pure and mixed states.
Statance and probablance are not yet computable.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We present six new measures of nonlocal correlation for discrete multipartite
quantum systems; correlance, statance, probablance, strong discordance,
discordance, and diagonal discordance. The correlance measures all nonlocal
correlation (even bound entanglement), and is exactly computable for all pure
and mixed states. Statance and probablance are not yet computable, but motivate
the strong discordance (for nonlocal correlation beyond that achievable by a
strictly classical state), discordance (a measure of all nonlocal correlation
in distinguishably quantum states), and diagonal discordance (for nonlocal
correlation in diagonal states), all of which are exactly computable for all
states. We discuss types of correlation and notions of classicality, and
compare correlance, strong discordance, and discordance to quantum discord. We
also define diagonal correlance to handle strictly classical probability
distributions, providing a powerful tool with wide-ranging applications.
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