Hadamard type operations for qubits

被引：6
|
作者：
Maitra, Arpita [1 ]
Parashar, Preeti [1 ]
机构：
[1] Indian Stat Inst, Phys & Appl Math Unit, Kolkata 700108, India
来源：
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2006年 / 4卷 / 04期
关键词：
unitary operations; Hadamard gate; Bloch sphere; qubits;
D O I：
10.1142/S0219749906002055
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We obtain the most general ensemble of qubits for which it is possible to design a universal Hadamard gate. These states, when geometrically represented on the Bloch sphere, give a new trajectory. We further consider some Hadamard "type" operations and find ensembles of states for which such transformations hold. The unequal superposition of a qubit and its orthogonal complement is also investigated.
引用
收藏
页码：653 / 664
页数：12
相关论文
共 50 条
  • [1] Arbitrary photonic wave plate operations on chip: Realizing Hadamard, Pauli-X, and rotation gates for polarisation qubits
    Heilmann, Rene
    Graefe, Markus
    Nolte, Stefan
    Szameit, Alexander
    SCIENTIFIC REPORTS, 2014, 4
  • [2] Arbitrary photonic wave plate operations on chip: Realizing Hadamard, Pauli-X and rotation gates for polarisation qubits
    René Heilmann
    Markus Gräfe
    Stefan Nolte
    Alexander Szameit
    Scientific Reports, 4
  • [3] Experimental demonstration of a Hadamard gate for coherent state qubits
    Tipsmark, Anders
    Dong, Ruifang
    Laghaout, Amine
    Marek, Petr
    Jezek, Miroslav
    Andersen, Ulrik L.
    PHYSICAL REVIEW A, 2011, 84 (05):
  • [4] Switching operations for Hadamard matrices
    Orrick, William P.
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 2008, 22 (01) : 31 - 50
  • [5] Arbitrary photonic wave plate operations on-chip: Realizing Hadamard and Pauli-X gates for polarization encoded qubits
    Heilmann, Rene
    Graefe, Markus
    Nolte, Stefan
    Szameit, Alexander
    2014 CONFERENCE ON LASERS AND ELECTRO-OPTICS (CLEO), 2014,
  • [6] Local filtering operations on two qubits
    Verstraete, F
    Dehaene, J
    DeMoor, B
    PHYSICAL REVIEW A, 2001, 64 (01): : 4
  • [7] Quantum logical operations on encoded qubits
    Zurek, WH
    Laflamme, R
    PHYSICAL REVIEW LETTERS, 1996, 77 (22) : 4683 - 4686
  • [8] Local filtering operations on two qubits
    Verstraete, F.
    Dehaene, J.
    Demoor, B.
    Physical Review A. Atomic, Molecular, and Optical Physics, 2001, 64 (01): : 101011 - 101014
  • [9] Optimal multiqubit operations for Josephson charge qubits
    Niskanen, AO
    Vartiainen, JJ
    Salomaa, MM
    PHYSICAL REVIEW LETTERS, 2003, 90 (19)
  • [10] Quantum Dynamics of Gate Operations on Charge Qubits
    Green, R.
    Wang, J. B.
    JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2004, 1 (03) : 309 - 316
12345