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quant-ph2026
Quantum clock and Newtonian time
Dorje C. Brody, Lane P. Hughston
An extension of standard quantum mechanics is proposed in which the Newtonian time appearing as a parameter in the unitary evolution operator is replaced with the time shown by a `…
quant-ph2026
Martingale Projections and Quantum Decoherence
Lane P. Hughston, Levent A. Mengütürk
We introduce so-called super/sub-martingale projections as a family of endomorphisms defined on unions of Polish spaces. Such projections allow us to identify martingales as collec…
quant-ph2024
Decoherence Implies Information Gain
Dorje C. Brody, Lane P. Hughston
It is shown that if the wave function of a quantum system undergoes an arbitrary random transformation such that the diagonal elements of the density matrix in the decoherence basi…