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quant-ph2026
The Requirement of (at least) Complex Structure for Quantum Mechanics
M. P. Vaughan
It is argued that many real-valued constructions of quantum mechanics are only \emph{nominally} real in that the operators and states are restricted to impose a \emph{complex struc…
quant-ph2026
Time evolution of quantum gates and the necessity of complex numbers
M. P. Vaughan
As physical systems, qubits must evolve from input to output state. We describe a simple scheme in which the effect of a quantum gate is described by the action of an effective Ham…