Terry Rudolph and Shashank Soyuz Virmani 2005 New J. Phys. 7 228 doi:10.1088/1367-2630/7/1/228
Terry Rudolph1,2 and Shashank Soyuz Virmani1,2
Show affiliationsWe prove that universal quantum computation is possible using only (i) the physically natural measurement on two qubits which distinguishes the singlet from the triplet subspace and (ii) qubits prepared in almost any three different (potentially highly mixed) states. In some sense this measurement is a 'more universal' dynamical element than a universal two-qubit unitary gate, since the latter must be supplemented by measurement. Because of the rotational invariance of the measurement used, our scheme is robust to collective decoherence in a manner very different to previous proposals—in effect it is only ever sensitive to the relational properties of the qubits.
03.67.Lx Quantum computation architectures and implementations
03.65.Yz Decoherence; open systems; quantum statistical methods
03.65.Ta Foundations of quantum mechanics; measurement theory
Issue 1 (October 2005)
Received 3 June 2005
Published 27 October 2005
Terry Rudolph and Shashank Soyuz Virmani 2005 New J. Phys. 7 228
Roberto Giambo et al 2003 Class. Quantum Grav. 20 L75
Sergei Maslov et al 2007 New J. Phys. 9 273
Cliff P. Burgess et al JHEP10(2002)028
Shamit Kachru et al JCAP10(2003)013
Chiang-Mei Chen et al JHEP11(2006)044
Chiang-Mei Chen et al JHEP10(2003)058
Alex Buchel and Johannes Walcher JHEP05(2003)069
Clifford P. Burgess et al JHEP03(2003)050
Shinji Tsujikawa and M Sami JCAP01(2007)006