Applications of universal parity quantum computation

被引:5
作者
Fellner, Michael [1 ,2 ]
Messinger, Anette [2 ]
Ender, Kilian [1 ,2 ]
Lechner, Wolfgang [1 ,2 ]
机构
[1] Univ Innsbruck, Inst Theoret Phys, A-6020 Innsbruck, Austria
[2] Par Quantum Comp GmbH, A-6020 Innsbruck, Austria
基金
奥地利科学基金会;
关键词
GATES;
D O I
10.1103/PhysRevA.106.042442
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We demonstrate the applicability of a universal gate set in the parity encoding, which is a dual to the standard gate model, by exploring several quantum gate algorithms such as the quantum Fourier transform and quantum addition. Embedding these algorithms in the parity encoding reduces the circuit depth compared to conventional gate-based implementations while keeping the multiqubit gate counts comparable. We further propose simple implementations of multiqubit gates in tailored encodings and an efficient strategy to prepare graph states.
引用
收藏
页数:8
相关论文
共 63 条
  • [1] Adiabatic quantum computation
    Albash, Tameem
    Lidar, Daniel A.
    [J]. REVIEWS OF MODERN PHYSICS, 2018, 90 (01)
  • [2] Fault-tolerant computing with biased-noise superconducting qubits: a case study
    Aliferis, P.
    Brito, F.
    DiVincenzo, D. P.
    Preskill, J.
    Steffen, M.
    Terhal, B. M.
    [J]. NEW JOURNAL OF PHYSICS, 2009, 11
  • [3] Quantum supremacy using a programmable superconducting processor
    Arute, Frank
    Arya, Kunal
    Babbush, Ryan
    Bacon, Dave
    Bardin, Joseph C.
    Barends, Rami
    Biswas, Rupak
    Boixo, Sergio
    Brandao, Fernando G. S. L.
    Buell, David A.
    Burkett, Brian
    Chen, Yu
    Chen, Zijun
    Chiaro, Ben
    Collins, Roberto
    Courtney, William
    Dunsworth, Andrew
    Farhi, Edward
    Foxen, Brooks
    Fowler, Austin
    Gidney, Craig
    Giustina, Marissa
    Graff, Rob
    Guerin, Keith
    Habegger, Steve
    Harrigan, Matthew P.
    Hartmann, Michael J.
    Ho, Alan
    Hoffmann, Markus
    Huang, Trent
    Humble, Travis S.
    Isakov, Sergei V.
    Jeffrey, Evan
    Jiang, Zhang
    Kafri, Dvir
    Kechedzhi, Kostyantyn
    Kelly, Julian
    Klimov, Paul V.
    Knysh, Sergey
    Korotkov, Alexander
    Kostritsa, Fedor
    Landhuis, David
    Lindmark, Mike
    Lucero, Erik
    Lyakh, Dmitry
    Mandra, Salvatore
    McClean, Jarrod R.
    McEwen, Matthew
    Megrant, Anthony
    Mi, Xiao
    [J]. NATURE, 2019, 574 (7779) : 505 - +
  • [4] Bapat A., ARXIV
  • [5] ELEMENTARY GATES FOR QUANTUM COMPUTATION
    BARENCO, A
    BENNETT, CH
    CLEVE, R
    DIVINCENZO, DP
    MARGOLUS, N
    SHOR, P
    SLEATOR, T
    SMOLIN, JA
    WEINFURTER, H
    [J]. PHYSICAL REVIEW A, 1995, 52 (05): : 3457 - 3467
  • [6] Coherent Josephson Qubit Suitable for Scalable Quantum Integrated Circuits
    Barends, R.
    Kelly, J.
    Megrant, A.
    Sank, D.
    Jeffrey, E.
    Chen, Y.
    Yin, Y.
    Chiaro, B.
    Mutus, J.
    Neill, C.
    O'Malley, P.
    Roushan, P.
    Wenner, J.
    White, T. C.
    Cleland, A. N.
    Martinis, John M.
    [J]. PHYSICAL REVIEW LETTERS, 2013, 111 (08)
  • [7] Probing many-body dynamics on a 51-atom quantum simulator
    Bernien, Hannes
    Schwartz, Sylvain
    Keesling, Alexander
    Levine, Harry
    Omran, Ahmed
    Pichler, Hannes
    Choi, Soonwon
    Zibrov, Alexander S.
    Endres, Manuel
    Greiner, Markus
    Vuletic, Vladan
    Lukin, Mikhail D.
    [J]. NATURE, 2017, 551 (7682) : 579 - +
  • [8] Quantum complexity theory
    Bernstein, E
    Vazirani, U
    [J]. SIAM JOURNAL ON COMPUTING, 1997, 26 (05) : 1411 - 1473
  • [9] Surface Code Compilation via Edge-Disjoint Paths
    Beverland, Michael
    Kliuchnikov, Vadym
    Schoute, Eddie
    [J]. PRX QUANTUM, 2022, 3 (02):
  • [10] Blatt R, 2012, NAT PHYS, V8, P277, DOI [10.1038/nphys2252, 10.1038/NPHYS2252]