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Supermartingales in Quantum Resources Theories: Where do quantum resources go when you're watching?
Katarzyna Macieszczak, Robert L. Jack
The paper connects quantum resource theories with probability theory by proving that resource measures form supermartingales under repeated free operations, and uses martingale the…
Gauge freedoms in unravelled quantum dynamics: When do different continuous measurements yield identical quantum trajectories?
Calum A. Brown, Katarzyna Macieszczak, Robert L. Jack
Quantum trajectories of a Markovian open quantum system arise from the back-action of measurements performed in the environment with which the system interacts. In this work, we co…
Weak unitary symmetries of open quantum dynamics: beyond quantum master equations
Calum A. Brown, Robert L. Jack, Katarzyna Macieszczak
We consider Markovian open quantum dynamics with weak unitary symmetries. Starting from the quantum master equation for the system alone, it is known that the joint dynamics of the…