# Symmetry constraints on temporal order in measurement-based quantum computation

@article{Raussendorf2012SymmetryCO, title={Symmetry constraints on temporal order in measurement-based quantum computation}, author={Robert Raussendorf and Pradeep Kiran Sarvepalli and Tzu-Chieh Wei and Poya Haghnegahdar}, journal={Inf. Comput.}, year={2012}, volume={250}, pages={115-138} }

We discuss the interdependence of resource state, measurement setting and temporal order in measurement-based quantum computation. The possible temporal orders of measurement events are constrained by the principle that the randomness inherent in quantum measurement should not affect the outcome of the computation. We provide a classification for all temporal relations among measurement events compatible with a given initial stabilizer state and measurement setting, in terms of a matroid…

## 3 Citations

### Measurement-Based Quantum Computation

- Physics, Computer ScienceOxford Research Encyclopedia of Physics
- 2021

The measurement-based approach offers a potential alternative to the standard circuit approach to realize a practical quantum computer and provides useful connections to the emergence of time ordering, computational complexity and classical spin models, blind quantum computation, etc.

### Putting paradoxes to work: contextuality in measurement-based quantum computation

- Mathematics
- 2022

We describe a joint cohomological framework for measurement-based quantum computation (MBQC) and the corresponding contextuality proofs. The central object in this framework is an element [ β Ψ ] in…

### Entanglement, Flow and Classical Simulatability in Measurement Based Quantum Computation

- Computer ScienceHorizons of the Mind
- 2014

This paper shows how gFlow can be used to directly give a bound on the classical simulation of an MBQC, and establishes a link between entanglement and the existence of gFlow for a graph state, as well as relating the gFlow to upper bound on how efficiently a computation can be simulated classically.

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