Reversibility in the Extended Measurement-based Quantum Computation
arXiv:1503.03008 · doi:10.1007/978-3-319-20860-2_8
Abstract
When applied on some particular quantum entangled states, measurements are universal for quantum computing. In particular, despite the fondamental probabilistic evolution of quantum measurements, any unitary evolution can be simulated by a measurement-based quantum computer (MBQC). We consider the extended version of the MBQC where each measurement can occur not only in the (X,Y)-plane of the Bloch sphere but also in the (X,Z)- and (Y,Z)-planes. The existence of a gflow in the underlying graph of the computation is a necessary and sufficient condition for a certain kind of determinism. We extend the focused gflow (a gflow in a particular normal form) defined for the (X,Y)-plane to the extended case, and we provide necessary and sufficient conditions for the existence of such normal forms.
References in corpus (8)
- Multi-party entanglement in graph states
- High-speed linear optics quantum computing using active feed-forward
- Generalized Flow and Determinism in Measurement-based Quantum Computation
- Finding Optimal Flows Efficiently
- Which graph states are useful for quantum information processing?
- Information Flow in Secret Sharing Protocols
- Graph States, Pivot Minor, and Universality of (X,Z)-measurements
- Global Quantum Circuit Optimization