Uma Proposta para a Porta Toffoli usando QND para Qubits baseados em Polarização e suas Aplicações
Abstract
An optical apparatus to implement the Toffoli gate is presented for polarization-based qubits using quantum non-demolition measurement (QND) with a probability of success of 0.95 (19/20) using real optical devices. From this apparatus it is possible to implement universal gates for reversible classical and quantum computing.References
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Barenco, A. et al. “Elementary gates for quantum computation”, Phys. Rev. A 52, 3457–3467 (1995).
Cory, D. G. et al. “Experimental quantum error correction”, Phys. Rev. Lett. 81, 2152– 2155 (1998).
Fedorov, A., Steffen, L., Baur, M. et al. “Implementation of a Toffoli gate with superconducting circuits”, Nature 481, 170–172 (2012).
Gottesman D., “Theory of fault-tolerant quantum computation”, Phys. Rev. A 57, 127, (1998).
Lanyon, B. P. et al. “Simplifying quantum logic using higher-dimensional Hilbert spaces”, Nature Phys. 5, 134–140 (2009).
Nielsen, M. A. and Chuang, I. L., “Quantum Computation and Quantum Information”, Cambridge University Press, Cambridge, U.K., 2002.
Mariantoni, M., et al, “Implementing the quantum von Neumann architecture with superconducting circuits”, Science 334, 61–65 (2011).
Monz, T. et al, “Realization of the quantum Toffoli gate with trapped ions”, Phys. Rev. Lett. 102, 040501 (2009).
Grangier, P., Levenson, J. A. and Poizat, JP., “Quantum non-demolition measurements in optics”, Nature, 396, 537, 1998.
Kok, P., Lee, H. and Dowling, J. P., “Single-photon quantum-nondemolition detectors constructed with linear optics and projective measurements”, Phys. Rev. A, 66, 063814, 2002.
Toffoli T., “Reversible Computing Automata”, Languages and Programming (Lecture Notes in Computer Science vol 85) ed. J. W. de Bakker and J. van Leeuwen (Berlin: Springer), 1980, pp 632–44.
Lin, Q. and Li, J., “Quantum control gates with weak cross-Kerr nonlinearity”, Phys. Rev. A 79, 022301 – Published 2 February 2009.
Published
2021-08-16
How to Cite
POLICARPO, Samy C.; SILVA, João Batista R..
Uma Proposta para a Porta Toffoli usando QND para Qubits baseados em Polarização e suas Aplicações . In: WORKSHOP DE COMUNICAÇÃO E COMPUTAÇÃO QUÂNTICA (WQUANTUM), 1. , 2021, Uberlândia.
Anais [...].
Porto Alegre: Sociedade Brasileira de Computação,
2021
.
p. 43-47.
DOI: https://doi.org/10.5753/wquantum.2021.17226.
