TY - JOUR

T1 - Path-entangling evolution and quantum gravitational interaction

AU - Matsumura, Akira

N1 - Publisher Copyright:
© 2022 American Physical Society.

PY - 2022/4

Y1 - 2022/4

N2 - We explore a general feature of the interaction mediated by the gravitational fields of spatially superposed masses. For this purpose, based on quantum information theory, we characterize the evolution of two particles each in a superposition state of paths. The evolution is assumed to be given by a completely positive trace-preserving (CPTP) map. We further assume that the probability of a particle being on each path is unchanged during the evolution. This property is called population preserving. We examine when a population-preserving CPTP map can create entanglement in terms of separable operations, which form a large class of local operations and classical communication (LOCC). In general, entanglement is not always generated by inseparable or non-LOCC operations, and one can consider a model of gravity described by an inseparable operation which does not create entanglement. However, we find that a population-preserving CPTP map is inseparable if and only if it can create entanglement. This means that the above model of gravity is incompatible with the possible evolution of spatially superposed masses.

AB - We explore a general feature of the interaction mediated by the gravitational fields of spatially superposed masses. For this purpose, based on quantum information theory, we characterize the evolution of two particles each in a superposition state of paths. The evolution is assumed to be given by a completely positive trace-preserving (CPTP) map. We further assume that the probability of a particle being on each path is unchanged during the evolution. This property is called population preserving. We examine when a population-preserving CPTP map can create entanglement in terms of separable operations, which form a large class of local operations and classical communication (LOCC). In general, entanglement is not always generated by inseparable or non-LOCC operations, and one can consider a model of gravity described by an inseparable operation which does not create entanglement. However, we find that a population-preserving CPTP map is inseparable if and only if it can create entanglement. This means that the above model of gravity is incompatible with the possible evolution of spatially superposed masses.

UR - http://www.scopus.com/inward/record.url?scp=85129034126&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85129034126&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.105.042425

DO - 10.1103/PhysRevA.105.042425

M3 - Article

AN - SCOPUS:85129034126

SN - 2469-9926

VL - 105

JO - Physical Review A

JF - Physical Review A

IS - 4

M1 - 042425

ER -