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Miyadera, Takayuki

Publications and source records attributed to Miyadera, Takayuki.

Relation between strength of interaction and accuracy of measurement for a quantum measurement

The process of measuring a two-level quantum system was examined by applying the Hamiltonian formalism. For the measurement of an observable that does not commute with the system Hamiltonian, a nontrivial relationship among the strength of interaction, the time interval of the process, and the accuracy of the measurement was obtained. Particularly, to achieve an error-free measurement of such an observable, a condition stating that the interaction Hamiltonian does not commute with the system Hamiltonian needs to be satisfied.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗

Quantum Kolmogorov complexity and bounded quantum memory

The effect of bounded quantum memory in a primitive information protocol has been examined using the quantum Kolmogorov complexity as a measure of information. We employed a toy two-party protocol in which Bob, by using a bounded quantum memory and an unbounded classical memory, estimates a message that was encoded in qubits by Alice in one of the bases X or Z. Our theorem gave a nontrivial effect of the memory boundedness. In addition, a generalization of the uncertainty principle in the presence of quantum memory has been obtained.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗