Ancilla models for quantum operations: for what unitaries does the ancilla state have to be physical? (English) Zbl 1270.81018
Summary: Any evolution described by a completely positive trace-preserving linear map can be imagined as arising from the interaction of the evolving system with an initially uncorrelated ancilla. The interaction is given by a joint unitary operator, acting on the system and the ancilla. Here we study the properties such a unitary operator must have in order to force the choice of a physical – that is, positive – state for the ancilla if the end result is to be a physical – that is, completely positive – evolution of the system.
MSC:
| 81P15 | Quantum measurement theory, state operations, state preparations |
| 81P50 | Quantum state estimation, approximate cloning |
| 47H07 | Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces |
Keywords:
ancilla model; Stinespring extension; completely positive; quantum operation; quantum tomographyReferences:
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