dorsal/arxiv
View SchemaProbabilistic Quantum Logic Operations Using Polarizing Beam Splitters
| Authors | T. B. Pittman, B. C. Jacobs, J. D. Franson |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0107091 |
| URL | https://arxiv.org/abs/quant-ph/0107091 |
| DOI | 10.1103/PhysRevA.64.062311 |
| Journal | Phys. Rev. A 64, 062311 (2001) |
Abstract
It has previously been shown that probabilistic quantum logic operations can be performed using linear optical elements, additional photons (ancilla), and post-selection based on the output of single-photon detectors. Here we describe the operation of several quantum logic operations of an elementary nature, including a quantum parity check and a quantum encoder, and we show how they can be combined to implement a controlled-NOT (CNOT) gate. All of these gates can be constructed using polarizing beam splitters that completely transmit one state of polarization and totally reflect the orthogonal state of polarization, which allows a simple explanation of each operation. We also describe a polarizing beam splitter implementation of a CNOT gate that is closely analogous to the quantum teleportation technique previously suggested by Gottesman and Chuang [Nature 402, p.390 (1999)]. Finally, our approach has the interesting feature that it makes practical use of a quantum-eraser technique.
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"abstract": "It has previously been shown that probabilistic quantum logic operations can\nbe performed using linear optical elements, additional photons (ancilla), and\npost-selection based on the output of single-photon detectors. Here we describe\nthe operation of several quantum logic operations of an elementary nature,\nincluding a quantum parity check and a quantum encoder, and we show how they\ncan be combined to implement a controlled-NOT (CNOT) gate. All of these gates\ncan be constructed using polarizing beam splitters that completely transmit one\nstate of polarization and totally reflect the orthogonal state of polarization,\nwhich allows a simple explanation of each operation. We also describe a\npolarizing beam splitter implementation of a CNOT gate that is closely\nanalogous to the quantum teleportation technique previously suggested by\nGottesman and Chuang [Nature 402, p.390 (1999)]. Finally, our approach has the\ninteresting feature that it makes practical use of a quantum-eraser technique.",
"arxiv_id": "quant-ph/0107091",
"authors": [
"T. B. Pittman",
"B. C. Jacobs",
"J. D. Franson"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.64.062311",
"journal_ref": "Phys. Rev. A 64, 062311 (2001)",
"title": "Probabilistic Quantum Logic Operations Using Polarizing Beam Splitters",
"url": "https://arxiv.org/abs/quant-ph/0107091"
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