Measurement and Quantum Computation

Hans J. Briegel, Dan E. Browne, Wolfgang Dür +2 more

Simon Perdrix

We improve the upper bound on the minimal resources required for measurement-only quantum computation (M A Nielsen 2003 Phys. Rev. A 308 96–100; D W Leung 2004 Int. J. Quantum Inform. 2 33; S Perdrix 2005 Int. J. Quantum Inform. 3 219–23). Minimizing the resources required for this model is a key issue for experimental realization of a quantum computer based on projective measurements. This new upper bound also allows one to reply in the negative to the open question presented by Perdrix (2004 Proc. Quantum Communication Measurement and Computing ) about the existence of a trade-off between observable and ancillary qubits in measurement-only QC.

Dongsheng Wang

A preliminary overview of measurement-based quantum computation (QC) in the setting of symmetry and topological (TOP) phases of quantum matter is given. The underlying mechanism for universal QC by teleportation or symmetry are analyzed, with the emphasis on the relation with tensor-network states in the presence of various symmetries. Perspectives are also given for the role of symmetry and phases of quantum matter in measurement-based QC and fault tolerance.

Marius Nagy, Selim G. Akl

R. Srikanth

László Gyöngyösi, Sándor Imre

Quantum measurement is a fundamental cornerstone of experimental quantum computations. We define a novel measurement for quantum computations called dense quantum measurement. The dense measurement aims at fixing the main drawbacks of standard quantum measurements.