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Measurement-based quantum computation on cluster states
We give a detailed account of the one-way quantum computer, a scheme of quantum computation that consists entirely of one-qubit measurements on a particular class of entangled states, the cluster…
Simulation of quantum circuits by low-rank stabilizer decompositions
- S. Bravyi, D. Browne, Padraic Calpin, E. Campbell, David Gosset, M. Howard
- Computer ScienceQuantum
- 1 August 2018
A comprehensive mathematical theory of the stabilizerRank and the related approximate stabilizer rank is developed and a suite of classical simulation algorithms with broader applicability and significantly improved performance over the previous state-of-the-art are presented.
Computational power of correlations.
This work exposes an intriguing relationship between the violation of local realistic models and the computational power of entangled resource states in measurement-based quantum computation.
Measurement-based quantum computation
Quantum computation offers a promising new kind of information processing, where the non-classical features of quantum mechanics are harnessed and exploited. A number of models of quantum computation…
Magic-State Distillation in All Prime Dimensions Using Quantum Reed-Muller Codes
The five-dimensional protocol is, by many measures, the best magic state distillation scheme yet discovered and the efficiency measure know as "yield", where, for a large region of parameters, it outperforms its qubit counterpart by many orders of magnitude.
Resource-efficient linear optical quantum computation.
This work introduces a scheme for linear optics quantum computation, that makes no use of teleported gates, and requires stable interferometry over only the coherence length of the photons, and demonstrates the universality and usefulness of generic parity measurements.
Generalized flow and determinism in measurement-based quantum computation
We extend the notion of quantum information flow defined by Danos and Kashefi (2006 Phys. Rev. A 74 052310) for the one-way model (Raussendorf and Briegel 2001 Phys. Rev. Lett. 86 910) and present a…
Demonstration of a compiled version of Shor's quantum factoring algorithm using photonic qubits.
An experimental demonstration of a complied version of Shor's algorithm using four photonic qubits using a simplified linear optical network to coherently implement the quantum circuits of the modular exponential execution and semiclassical quantum Fourier transformation.
Loss tolerance in one-way quantum computation via counterfactual error correction.
A scheme for fault tolerantly dealing with losses in cluster state computation that can tolerate up to 50% qubit loss is introduced, achieved passively using an adaptive strategy of measurement--no coherent measurements or coherent correction is required.
Qutrit magic state distillation
Magic state distillation (MSD) is a purification protocol that plays an important role in fault-tolerant quantum computation. Repeated iteration of the steps of an MSD protocol generates pure single…