dorsal/arxiv
View SchemaExact two-qubit universal quantum circuit
| Authors | Jun Zhang, Jiri Vala, Shankar Sastry, K. Birgitta Whaley |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0212109 |
| URL | https://arxiv.org/abs/quant-ph/0212109 |
| DOI | 10.1103/PhysRevLett.91.027903 |
| Journal | Phys. Rev. Lett. 91, 027903 (2003) |
Abstract
We provide an analytic way to implement any arbitrary two-qubit unitary operation, given an entangling two-qubit gate together with local gates. This is shown to provide explicit construction of a universal quantum circuit that exactly simulates arbitrary two-qubit operations in SU(4). Each block in this circuit is given in a closed form solution. We also provide a uniform upper bound of the applications of the given entangling gates, and find that exactly half of all the Controlled-Unitary gates satisfy the same upper bound as the CNOT gate. These results allow for the efficient implementation of operations in SU(4) required for both quantum computation and quantum simulation.
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"abstract": "We provide an analytic way to implement any arbitrary two-qubit unitary\noperation, given an entangling two-qubit gate together with local gates. This\nis shown to provide explicit construction of a universal quantum circuit that\nexactly simulates arbitrary two-qubit operations in SU(4). Each block in this\ncircuit is given in a closed form solution. We also provide a uniform upper\nbound of the applications of the given entangling gates, and find that exactly\nhalf of all the Controlled-Unitary gates satisfy the same upper bound as the\nCNOT gate. These results allow for the efficient implementation of operations\nin SU(4) required for both quantum computation and quantum simulation.",
"arxiv_id": "quant-ph/0212109",
"authors": [
"Jun Zhang",
"Jiri Vala",
"Shankar Sastry",
"K. Birgitta Whaley"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.91.027903",
"journal_ref": "Phys. Rev. Lett. 91, 027903 (2003)",
"title": "Exact two-qubit universal quantum circuit",
"url": "https://arxiv.org/abs/quant-ph/0212109"
},
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