Direct measurement of large-scale quantum states via expectation values of non-Hermitian matrices

• DOI: 10.1038/ncomms10439
• Publication Date: 2016-01-19T12:13:09Z
• Authors: Eliot Bolduc; Genevieve Gariepy; Jonathan Leach
• Keywords: Quantum correlation; State vector

In quantum mechanics, predictions are made by way of calculating expectation values observables, which take the form Hermitian operators. Non-Hermitian operators, however, not necessarily devoid physical significance, and they can play a crucial role in characterization states. Here we show that particular set non-Hermitian matrices, call column directly yield complex coefficients state vector. We provide definition vector terms measurable quantities decomposing these operators into observables. The technique propose renders very-large-scale states significantly more accessible laboratory, as demonstrate experimentally characterizing 100,000-dimensional entangled state. This represents an improvement two orders magnitude with respect to previous phase-and-amplitude characterizations discrete