Negative quantum states from discrete Wigner functions show resilience advantages over Bell states under non-Markovian dynamics, are protected via weak measurements, and are realized on IBM superconducting hardware.
All Mutually Unbiased Bases in Dimensions Two to Five
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abstract
All complex Hadamard matrices in dimensions two to five are known. We use this fact to derive all inequivalent sets of mutually unbiased (MU) bases in low dimensions. We find a three-parameter family of triples of MU bases in dimension four and two inequivalent classes of MU triples in dimension five. We confirm that the complete sets of (d+1) MU bases are unique (up to equivalence) in dimensions below six, using only elementary arguments for d less than five.
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Discrete and Continuous Wigner Functions in Open Quantum Systems: Non-Markovian and Thermodynamic Effects
Negative quantum states from discrete Wigner functions show resilience advantages over Bell states under non-Markovian dynamics, are protected via weak measurements, and are realized on IBM superconducting hardware.