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Abstract
Selftesting is a method to verify that one has a particular quantum state from purely classical statistics. For practical applications, such as deviceindependent delegated verifiable quantum computation, it is crucial that one selftests multiple Bell states in parallel while keeping the quantum capabilities required of one side to a minimum. In this work, we use the 3 × n magic rectangle games (generalizations of the magic square game) to obtain a selftest for n Bell states where the one side needs only to measure singlequbit Pauli observables. The protocol requires small input sizes (constant for Alice and O(log n) bits for Bob) and is robust with robustness O(n 5/2√ ε), where ε is the closeness of the ideal (perfect) correlations to those observed. To achieve the desired selftest we introduce a onesidelocal quantum strategy for the magic square game that wins with certainty, generalize this strategy to the family of 3×n magic rectangle games, and supplement these nonlocal games with extra check rounds (of single and pairs of observables).
Original language  English 

Article number  032456 
Number of pages  20 
Journal  Physical Review A 
Volume  105 
Issue number  3 
DOIs  
Publication status  Published  31 Mar 2022 
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EPSRC Hub in Quantum Computing and Simulation
Kashefi, E., Arapinis, M., Heunen, C. & Wallden, P.
1/12/19 → 30/11/24
Project: Research
