Macroscopic instructions vs microscopic operations in quantum circuits
| Autor: | M.P. da Silva, S. J. van Enk, Andrzej Veitia, Robin Blume-Kohout |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Physics
Quantum Physics Tomographic reconstruction Measure (physics) General Physics and Astronomy FOS: Physical sciences Context (language use) Quantum tomography 01 natural sciences 010305 fluids & plasmas Matrix (mathematics) Quantum process 0103 physical sciences Quantum operation Statistical physics 010306 general physics Quantum Physics (quant-ph) Quantum |
| Popis: | In many experiments on microscopic quantum systems, it is implicitly assumed that when a macroscopic procedure or “instruction” is repeated many times – perhaps in different contexts – each application results in the same microscopic quantum operation. But in practice, the microscopic effect of a single macroscopic instruction can easily depend on its context. If undetected, this can lead to unexpected behavior and unreliable results. Here, we design and analyze several tests to detect context-dependence. They are based on invariants of matrix products, and while they can be as data intensive as quantum process tomography, they do not require tomographic reconstruction, and are insensitive to imperfect knowledge about the experiments. We also construct a measure of how unitary (reversible) an operation is, and show how to estimate the volume of physical states accessible by a quantum operation. |
| Databáze: | OpenAIRE |
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