• Rapid Communication

Acausal measurement-based quantum computing

Tomoyuki Morimae
Phys. Rev. A 90, 010101(R) – Published 14 July 2014

Abstract

In measurement-based quantum computing, there is a natural “causal cone” among qubits of the resource state, since the measurement angle on a qubit has to depend on previous measurement results in order to correct the effect of by-product operators. If we respect the no-signaling principle, by-product operators cannot be avoided. Here we study the possibility of acausal measurement-based quantum computing by using the process matrix framework [Oreshkov, Costa, and Brukner, Nat. Commun. 3, 1092 (2012)]. We construct a resource process matrix for acausal measurement-based quantum computing restricting local operations to projective measurements. The resource process matrix is an analog of the resource state of the standard causal measurement-based quantum computing. We find that if we restrict local operations to projective measurements the resource process matrix is (up to a normalization factor and trivial ancilla qubits) equivalent to the decorated graph state created from the graph state of the corresponding causal measurement-based quantum computing. We also show that it is possible to consider a causal game whose causal inequality is violated by acausal measurement-based quantum computing.

  • Figure
  • Figure
  • Received 2 May 2014

DOI:https://doi.org/10.1103/PhysRevA.90.010101

©2014 American Physical Society

Authors & Affiliations

Tomoyuki Morimae*

  • ASRLD Unit, Gunma University, 1-5-1 Tenjin-cho, Kiryu-shi, Gunma-ken 376-0052, Japan

  • *morimae@gunma-u.ac.jp

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 90, Iss. 1 — July 2014

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×