Phase-random states: Ensembles of states with fixed amplitudes and uniformly distributed phases in a fixed basis
Phase-random states: Ensembles of states with fixed amplitudes and uniformly distributed phases in a fixed basis
Motivated by studies of typical properties of quantum states in statistical mechanics, we introduce phase-random states, an ensemble of pure states with fixed amplitudes and uniformly distributed phases in a fixed basis. We first show that canonical states typically appear in subsystems of phase-random states. We then investigate the simulatability …