Synthesis of multi-qudit Hybrid and d-valued Quantum Logic Circuits by Decomposition

Details Synthesis of multi-qudit Hybrid and d-valued Quantum Logic Circuits by Decomposition Synthesis of multi-qudit Hybrid and d-valued Quantum Logic Circuits by Decomposition

2005-11-03

arxiv.org/abs/quant-ph/0511019v4

Theoretical Computer Science, Volume 367, Issue 3, 1 December 2006, Pages 336-346

Physics

Quantum Physics

15 pages, 11 figures

Scientific paper

10.1016/j.tcs.2006.09.006

Recent research in generalizing quantum computation from 2-valued qudits to d-valued qudits has shown practical advantages for scaling up a quantum computer. A further generalization leads to quantum computing with hybrid qudits where two or more qudits have different finite dimensions. Advantages of hybrid and d-valued gates (circuits) and their physical realizations have been studied in detail by Muthukrishnan and Stroud (Physical Review A, 052309, 2000), Daboul et al. (J. Phys. A: Math. Gen. 36 2525-2536, 2003), and Bartlett et al (Physical Review A, Vol.65, 052316, 2002). In both cases, a quantum computation is performed when a unitary evolution operator, acting as a quantum logic gate, transforms the state of qudits in a quantum system. Unitary operators can be represented by square unitary matrices. If the system consists of a single qudit, then Tilma et al (J.Phys. A: Math. Gen. 35 (2002) 10467-10501) have shown that the unitary evolution matrix (gate) can be synthesized in terms of its Euler angle parameterization. However, if the quantum system consists of multiple qudits, then a gate may be synthesized by matrix decomposition techniques such as QR factorization and the Cosine-sine Decomposition (CSD). In this article, we present a CSD based synthesis method for n qudit hybrid quantum gates, and as a consequence, derive a CSD based synthesis method for n qudit gates where all the qudits have the same dimension.

Affiliated with

Also associated with

No associations

Rating

Synthesis of multi-qudit Hybrid and d-valued Quantum Logic Circuits by Decomposition does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Synthesis of multi-qudit Hybrid and d-valued Quantum Logic Circuits by Decomposition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Synthesis of multi-qudit Hybrid and d-valued Quantum Logic Circuits by Decomposition will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-483376