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Quantum gates, mixed-state entanglem...

Smolin, John Aaron.

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Quantum gates, mixed-state entanglement and error-correcting codes.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Quantum gates, mixed-state entanglement and error-correcting codes./
作者:	Smolin, John Aaron.
面頁冊數:	163 p.
附註:	Chair: Claudio Pellegrini.
Contained By:	Dissertation Abstracts International57-06B.
標題:	Engineering, Electronics and Electrical. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9634311

Quantum gates, mixed-state entanglement and error-correcting codes.
Smolin, John Aaron.

Quantum gates, mixed-state entanglement and error-correcting codes. - 163 p.

Chair: Claudio Pellegrini.

Thesis (Ph.D.)--University of California, Los Angeles, 1996.

I give an overview of quantum information and existing results. I present a new view of of locality and argue that the criterion for nonlocality of a mixed state M is non-zero E(M), the entanglement required to prepare M by local actions. I compare E(M) with the amounts Subjects--Topical Terms:

626636
Engineering, Electronics and Electrical.

Quantum gates, mixed-state entanglement and error-correcting codes.
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100 1 $a Smolin, John Aaron. $3 1296055
245 1 0 $a Quantum gates, mixed-state entanglement and error-correcting codes.
300 $a 163 p.
500 $a Chair: Claudio Pellegrini.
500 $a Source: Dissertation Abstracts International, Volume: 57-06, Section: B, page: 3787.
502 $a Thesis (Ph.D.)--University of California, Los Angeles, 1996.
520 $a I give an overview of quantum information and existing results. I present a new view of of locality and argue that the criterion for nonlocality of a mixed state M is non-zero E(M), the entanglement required to prepare M by local actions. I compare E(M) with the amounts $d \sb1(M)$ and $d \sb2(M)$ that can be locally distilled from M by entanglement purification protocols (EPPs) using one- and two-way classical communication respectively, and give an exact expression for E(M) when M is Bell-diagonal.
520 $a I show the relationship between EPPs and quantum error-correcting codes (QECCs). In an EPP perfectly entangled pure states are extracted with yield D from bipartite mixed states M; in a QECC arbitrary quantum states are reliably transmitted at rate Q through a noisy channel $\chi$. I prove an EPP involving one-way classical communication and acting on mixed state $\ M(\chi)$ (obtained by sharing EPR pairs through $\chi$) yields a QECC on $\chi$ with rate Q = D, and vice versa.
520 $a While EPPs require classical communication, QECCs do not; I prove Q is not increased by adding one-way classical communication. However, both D and Q can be increased by adding two-way communication. I show that certain noisy channels can be used for reliable quantum transmission iff two-way communication is available. I exhibit a family of codes based on universal hashing able to achieve an asymptotic Q (or D) of $1 -S$ for independent noise models, where S is the error entropy. I obtain a 5-bit single-error-correcting quantum block code. I prove that iff a QECC results in high fidelity for the case of no error the QECC can be recast with the encoder as the matrix inverse of the decoder.
520 $a I discuss quantum gate arrays for quantum computation and present numerical results indicating that six two-bit quantum gates are enough to implement any three-bit quantum gate, and results for implementing specific gates. An analytic argument and numerical results are given for why a two-bit gate adds nine, twelve, fifteen, or zero parameters to the space accessible by a gate array, depending on the topology.
590 $a School code: 0031.
650 4 $a Engineering, Electronics and Electrical. $3 626636
650 4 $a Physics, General. $3 1018488
690 $a 0544
690 $a 0605
710 2 0 $a University of California, Los Angeles. $3 626622
773 0 $t Dissertation Abstracts International $g 57-06B.
790 $a 0031
790 1 0 $a Pellegrini, Claudio, $e advisor
791 $a Ph.D.
792 $a 1996
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9634311