Deterministic generations of quantum state with no more than six qubits

Deterministic generations of quantum state with no more than six qubits The ability to prepare arbitrary quantum state is the holy grail of quantum information technology. Previous schemes focus on circuit complexity using implicit decomposition schemes for global evolutions and are difficult in quantum experiments because the generation circuit can be completed for given coefficients each time. One protocol is firstly proposed in this paper in order to deterministically generate arbitrary four-qubit states with any coefficients. In order to complete this scheme with present physical techniques, we present an explicit quantum circuit with unknown coefficients of prepared states using elementary quantum gates. The key of our scheme is constructing the Cartan KAK decomposition of special transformations in $$SO(4)$$ S O ( 4 ) and $$SO(8)$$ S O ( 8 ) . And then, this protocol is extended to arbitrary five-qubit states and six-qubit states. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Deterministic generations of quantum state with no more than six qubits

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Publisher
Springer Journals
Copyright
Copyright © 2015 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-014-0905-9
Publisher site
See Article on Publisher Site

Abstract

The ability to prepare arbitrary quantum state is the holy grail of quantum information technology. Previous schemes focus on circuit complexity using implicit decomposition schemes for global evolutions and are difficult in quantum experiments because the generation circuit can be completed for given coefficients each time. One protocol is firstly proposed in this paper in order to deterministically generate arbitrary four-qubit states with any coefficients. In order to complete this scheme with present physical techniques, we present an explicit quantum circuit with unknown coefficients of prepared states using elementary quantum gates. The key of our scheme is constructing the Cartan KAK decomposition of special transformations in $$SO(4)$$ S O ( 4 ) and $$SO(8)$$ S O ( 8 ) . And then, this protocol is extended to arbitrary five-qubit states and six-qubit states.

Journal

Quantum Information ProcessingSpringer Journals

Published: Jan 10, 2015

References

  • Synthesis of quantum-logic circuits
    Shende, V; Bullock, SS; Markov, IL
  • Generation of Fock states in a superconducting quantum circuit
    Hofheinz, M; Weig, EM; Ansmann, M; Bialczak, RC; Lucero, E; Neeley, M; O’Connell, AD; Wang, H; Martinis, JM; Cleland, AN
  • Preparation and measurement of three-qubit entanglement in a superconducting circuit
    DiCarlo, L; Reed, MD; Sun, L; Johnson, BR; Chow, JM; Gambetta, JM; Frunzio, L; Girvin, SM; Devoret, MH; Schoelkopf, RJ
  • Generation of three-qubit entangled states using superconducting phase qubits
    Neeley, M; Bialczak, RC; Lenander, M; Lucero, E; Mariantoni, M; O’Connell, AD; Sank, D; Wang, H; Weides, M; Wenner, J; Yin, Y; Yamamoto, T; Cleland, AN; Martinis, JM
  • Joint remote preparation of an arbitrary three-qubit state
    Luo, M-X; Chen, X-B; Ma, S-Y; Niu, X-X; Yang, Y-X

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