TY  - JOUR
TI  - Graph-theoretic strengths of contextuality
Y1  - 2017/03/09/
AV  - public
EP  - 9
KW  - Science & Technology
KW  -  Physical Sciences
KW  -  Optics
KW  -  Physics
KW  -  Atomic
KW  -  Molecular & Chemical
KW  -  Physics
KW  -  HIDDEN-VARIABLES
KW  -  QUANTUM CORRELATIONS
KW  -  NONLOCALITY
KW  -  INEQUALITIES
KW  -  STATES
KW  -  COMMUNICATION
KW  -  PROBABILITY
KW  -  MECHANICS
KW  -  PRINCIPLE
KW  -  COMPUTER
N2  - Cabello-Severini-Winter and Abramsky-Hardy (building on the framework of Abramsky-Brandenburger) both provide classes of Bell and contextuality inequalities for very general experimental scenarios using vastly different mathematical techniques. We review both approaches, carefully detail the links between them, and give simple, graph-theoretic methods for finding inequality-free proofs of nonlocality and contextuality and for finding states exhibiting strong nonlocality and/or contextuality. Finally, we apply these methods to concrete examples in stabilizer quantum mechanics relevant to understanding contextuality as a resource in quantum computation.
ID  - discovery1550974
PB  - AMER PHYSICAL SOC
IS  - 3
N1  - ©2017 American Physical Society. This version is the version of record. For information on re-use, please refer to the publisher?s terms and conditions.
VL  - 95
JF  - Physical Review A
A1  - de Silva, N
UR  - http://doi.org/10.1103/PhysRevA.95.032108
SN  - 2469-9934
ER  -