dorsal/arxiv
View SchemaQuantum computers in phase space
| Authors | Cesar Miquel, Juan Pablo Paz, Marcos Saraceno |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0204149 |
| URL | https://arxiv.org/abs/quant-ph/0204149 |
| DOI | 10.1103/PhysRevA.65.062309 |
Abstract
We represent both the states and the evolution of a quantum computer in phase space using the discrete Wigner function. We study properties of the phase space representation of quantum algorithms: apart from analyzing important examples, such as the Fourier Transform and Grover's search, we examine the conditions for the existence of a direct correspondence between quantum and classical evolutions in phase space. Finally, we describe how to directly measure the Wigner function in a given phase space point by means of a tomographic method that, itself, can be interpreted as a simple quantum algorithm.
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"abstract": "We represent both the states and the evolution of a quantum computer in phase\nspace using the discrete Wigner function. We study properties of the phase\nspace representation of quantum algorithms: apart from analyzing important\nexamples, such as the Fourier Transform and Grover\u0027s search, we examine the\nconditions for the existence of a direct correspondence between quantum and\nclassical evolutions in phase space. Finally, we describe how to directly\nmeasure the Wigner function in a given phase space point by means of a\ntomographic method that, itself, can be interpreted as a simple quantum\nalgorithm.",
"arxiv_id": "quant-ph/0204149",
"authors": [
"Cesar Miquel",
"Juan Pablo Paz",
"Marcos Saraceno"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.062309",
"title": "Quantum computers in phase space",
"url": "https://arxiv.org/abs/quant-ph/0204149"
},
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