Quantum-state preparation with universal gate decompositions

Author(s)
Martin Plesch, Caslav Brukner
Abstract

In quantum computation every unitary operation can be decomposed into quantum circuits-a series of single-qubit rotations and a single type entangling two-qubit gates, such as controlled-NOT (CNOT) gates. Two measures are important when judging the complexity of the circuit: the total number of CNOT gates needed to implement it and the depth of the circuit, measured by the minimal number of computation steps needed to perform it. Here we give an explicit and simple quantum circuit scheme for preparation of arbitrary quantum states, which can directly utilize any decomposition scheme for arbitrary full quantum gates, thus connecting the two problems. Our circuit reduces the depth of the best currently known circuit by a factor of 2. It also reduces the total number of CNOT gates from 2(n) to 23/24 2(n) in the leading order for even number of qubits. Specifically, the scheme allows us to decrease the upper bound from 11 CNOT gates to 9 and the depth from 11 to 5 steps for four qubits. Our results are expected to help in designing and building small-scale quantum circuits using present technologies.

Organisation(s)
Quantum Optics, Quantum Nanophysics and Quantum Information
External organisation(s)
Universität Wien, Masaryk University
Journal
Physical Review A
Volume
83
No. of pages
5
ISSN
1050-2947
DOI
https://doi.org/10.1103/PhysRevA.83.032302
Publication date
2011
Peer reviewed
Yes
Austrian Fields of Science 2012
103026 Quantum optics
Portal url
https://ucris.univie.ac.at/portal/en/publications/quantumstate-preparation-with-universal-gate-decompositions(71d2cea6-4f64-488f-bfb5-cd0cbf491d27).html