TY - JOUR
T1 - Correlance and discordance
T2 - computable measures of nonlocal correlation
AU - Hedemann, Samuel R.
N1 - Publisher Copyright:
© 2020, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2020/7/1
Y1 - 2020/7/1
N2 - 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 correlations (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.
AB - 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 correlations (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.
KW - Correlance
KW - Discordance
KW - Entanglement
KW - Nonlocal correlation
KW - Quantum discord
KW - Strict classicality
KW - TGX states
UR - http://www.scopus.com/inward/record.url?scp=85084972829&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85084972829&partnerID=8YFLogxK
U2 - 10.1007/s11128-020-02676-8
DO - 10.1007/s11128-020-02676-8
M3 - Article
AN - SCOPUS:85084972829
SN - 1570-0755
VL - 19
JO - Quantum Information Processing
JF - Quantum Information Processing
IS - 7
M1 - 189
ER -