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Storing quantum dynamics in quantum states: stochastic programmable gate for U(1) operations
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We show how quantum dynamics can be captured in the state of a quantum system, in such a way that the system can be used to stochastically perform, at a later time, the stored transformation perfectly on some other quantum system. Thus programmable quantum gates for quantum information processing are feasible if some probability of failure -that we show to decrease exponentially with the size of the storing resources- is allowed.
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Cited by 2 Pith papers
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Quantum Advantage in Storage and Retrieval of Isometry Channels
Quantum strategy stores isometry channels with n = Θ(1/√ε) queries for error ε, quadratic improvement over classical n = Θ(ε^{-1}).
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Probabilistic exact universal quantum circuits for transforming unitary operations
The paper derives optimal success probabilities and no-go thresholds for probabilistically transforming unknown unitary operations into their transpose, complex conjugate, or inverse, and proves adaptive circuits give...
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