TY - JOUR
T1 - Self-testing quantum states and measurements in the prepare-and-measure scenario
AU - Tavakoli, Armin
AU - Kaniewski, Jȩdrzej
AU - Vértesi, Tamás
AU - Rosset, Denis
AU - Brunner, Nicolas
PY - 2018/12/6
Y1 - 2018/12/6
N2 - The goal of self-testing is to characterize an a priori unknown quantum system based solely on measurement statistics, i.e., using an uncharacterized measurement device. Here we develop self-testing methods for quantum prepare-and-measure experiments, thus not necessarily relying on entanglement and/or violation of a Bell inequality. We present noise-robust techniques for self-testing sets of quantum states and measurements, assuming an upper bound on the Hilbert space dimension. We discuss in detail the case of a 2→1 random access code with qubits, for which we provide analytically optimal self-tests. The simplicity and noise robustness of our methods should make them directly applicable to experiments.
AB - The goal of self-testing is to characterize an a priori unknown quantum system based solely on measurement statistics, i.e., using an uncharacterized measurement device. Here we develop self-testing methods for quantum prepare-and-measure experiments, thus not necessarily relying on entanglement and/or violation of a Bell inequality. We present noise-robust techniques for self-testing sets of quantum states and measurements, assuming an upper bound on the Hilbert space dimension. We discuss in detail the case of a 2→1 random access code with qubits, for which we provide analytically optimal self-tests. The simplicity and noise robustness of our methods should make them directly applicable to experiments.
U2 - 10.1103/PhysRevA.98.062307
DO - 10.1103/PhysRevA.98.062307
M3 - Journal article
AN - SCOPUS:85058179538
SN - 2469-9926
VL - 98
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 6
M1 - 062307
ER -