Lossy-and-Constrained Extended Non-Local Games with Applications to Quantum Cryptography

Lossy-and-Constrained Extended Non-Local Games with Applications to Quantum Cryptography

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Extended non-local games are a generalization of monogamy-of-entanglement games, played by two quantum parties and a quantum referee that performs a measurement 2003 toyota corolla exhaust system on their local quantum system.Along the lines of the NPA hierarchy, the optimal winning probability of those games can be upper bounded by a hierarchy of semidefinite programs (SDPs) converging to the optimal value.Here, we show that if one extends such games by considering $constraints$ and $loss$, motivated by experimental errors and loss through quantum communication, the convergence of the herbstonne black-eyed susan SDPs to the optimal value still holds.

We give applications of this result, and we compute SDPs that show tighter security of protocols for relativistic bit commitment, quantum key distribution, and quantum position verification.