Quantum computers: noise propagation and adversarial noise models. How can quantum computers fail? Technical report, 2006. All-optical non-markovian stroboscopic quantum simulator. Jiasen Jin, Vittorio Giovannetti, Rosario Fazio, Fabio Sciarrino, Paolo Mataloni, Andrea Crespi, and Roberto Osellame.High-fidelity preparation, gates, memory, and readout of a trapped-ion quantum bit. TP Harty, DTC Allcock, C J Ballance, L Guidoni, HA Janacek, NM Linke, DN Stacey, and DM Lucas.Quantum noise: a handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics, volume 56. Building logical qubits in a superconducting quantum computing system. Jay M Gambetta, Jerry M Chow, and Matthias Steffen.Surface codes: Towards practical large-scale quantum computation. Austin G Fowler, Matteo Mariantoni, John M Martinis, and Andrew N Cleland.Minimum weight perfect matching of fault-tolerant topological quantum error correction in average o(1) parallel time. Analytic asymptotic performance of topological codes. Non-markovianity through accessible information. Felipe F Fanchini, Goktug Karpat, Baris Çakmak, LK Castelano, GH Aguilar, O Jiménez Farías, SP Walborn, PH Souto Ribeiro, and MC De Oliveira.Reducing decoherence in quantum-computer memory with all quantum bits coupling to the same environment. Performing quantum computing experiments in the cloud. Eric Dennis, Alexei Kitaev, Andrew Landahl, and John Preskill.Linear optics simulation of quantum non-markovian dynamics. Andrea Chiuri, Chiara Greganti, Laura Mazzola, Mauro Paternostro, and Paolo Mataloni.Good quantum error-correcting codes exist. Colloquium: Non-markovian dynamics in open quantum systems. Heinz-Peter Breuer, Elsi-Mari Laine, Jyrki Piilo, and Bassano Vacchini.Measure for the degree of non-markovian behavior of quantum processes in open systems. Heinz-Peter Breuer, Elsi-Mari Laine, and Jyrki Piilo.Quantum codes on a lattice with boundary. Experimental observation of weak non-markovianity. Nadja K Bernardes, Alvaro Cuevas, Adeline Orieux, CH Monken, Paolo Mataloni, Fabio Sciarrino, and Marcelo F Santos.Approximate quantum error correction for correlated noise. Operator quantum error-correcting subsystems for self-correcting quantum memories. Quantum accuracy threshold for concatenated distance-3 codes. Panos Aliferis, Daniel Gottesman, and John Preskill.Quantum error correction fails for hamiltonian models. ACM Journal on Emerging Technologies in Computing Systems (JETC), 12(4):39, 2016. Designing a million-qubit quantum computer using a resource performance simulator.
Muhammad Ahsan, Rodney Van Meter, and Jungsang Kim.Fault-tolerant quantum computation with long-range correlated noise. Dorit Aharonov, Alexei Kitaev, and John Preskill.In Proceedings of the twenty-ninth annual ACM symposium on Theory of computing, pages 176-188.
Fault-tolerant quantum computation with constant error. Our results suggest that progressively reducing noise level in qubits and gates is as important as continuously integrating more qubits to realize scalable and reliable quantum computer. However, if instead, per-operation qubit error probability in an n-qubits long codeword is reduced O(√ n) times below the accuracy threshold, arbitrarily accurate quantum computation becomes feasible with acceptable scaling of the codeword size. We find that in the presence of noise correlation, one cannot guarantee arbitrary high computational accuracy simply by incrementing the codeword size while retaining constant noise level per qubit operation. In this noise model, the probability distribution over set of phase-flipped qubits, decays sub-exponentially in the size of the set and carries non-trivial likelihood of the occurring large numbers of qubits errors. We investigate the efficacy of topological quantum error-correction in correlated noise model which permits collective coupling of all the codeword qubits to the same non-Markovian environment.
0 kommentar(er)
