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Quantum Information Processing
Erschienen in: Quantum Information Processing 11/2016

01.11.2016

Survey of control performance in quantum information processing

verfasst von: David Hocker, Yicong Zheng, Robert Kosut, Todd Brun, Herschel Rabitz

Erschienen in: Quantum Information Processing | Ausgabe 11/2016

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Abstract

There is a rich variety of physics underlying the fundamental gating operations for quantum information processing (QIP). A key aspect of a QIP system is how noise may enter during quantum operations and how suppressing or correcting its effects can best be addressed. Quantum control techniques have been developed to specifically address this effort, although a detailed classification of the compatibility of controls schemes with noise sources found in common quantum systems has not yet been performed. This work numerically examines the performance of modern control methods for suppressing decoherence in the presence of noise forms found in viable quantum systems. The noise-averaged process matrix for controlled one-qubit and two-qubit operations are calculated across noise found in systems driven by Markovian open quantum dynamics. Rather than aiming to describe the absolute best control scheme for a given physical circumstance, this work serves instead to classify quantum control behavior across a large class of noise forms so that opportunities for improving QIP performance may be identified.
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Literatur
1.
Clark, C.R., Metodi, T.S., Gasster, S.D., Brown, K.R.: Resource requirements for fault-tolerant quantum simulation: the ground state of the transverse ising model. Phys. Rev. A 79, 062314–062323 (2009)ADSCrossRef
2.
Jones, N.C., Van Meter, R., Fowler, A.G., McMahon, P.L., Kim, J., Ladd, T.D., Yamamoto, Y.: Layered architecture for quantum computing. Phys. Rev. X 2, 031007–031034 (2012)
3.
Devitt, S.J., Stephens, A.M., Munro, W.J., Nemoto, K.: Requirements for fault-tolerant factoring on an atom-optics quantum computer. Nat. Commun. (2013). doi:10.​1038/​ncomms3524
4.
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge Univeristy Press, Cambridge (2000)MATH
5.
Brif, C., Chakrabarti, R., Rabitz, H.: Control of quantum phenomena: past, present and future. N. J. Phys. 12(7), 075008–75076 (2010)CrossRef
6.
Glaser, J.S., Boscain, U., Calarco, T., Koch, P.C., Köckenberger, W., Kosloff, R., Kuprov, I., Luy, B., Schirmer, S., Schulte-Herbrüggen, T., Sugny, D., Frank Wilhelm, K.: Training schrödinger’s cat: quantum optimal control. Eur. Phys. J. D 69(12), 1–24 (2015)ADSCrossRef
7.
Siegel, R., Nakashima, T.T., Wasylishen, R.E.: Signal-to-noise enhancement of NMR spectra of solids using multiple-pulse spin-echo experiments. Concepts Magn. Reson. Part A 26A(2), 62–77 (2005)CrossRef
8.
Wimperis, S.: Broadband, narrowband, and passband composite pulses for use in advanced NMR experiments. J. Magn. Reson. Ser. A 109(2), 221–231 (1994)ADSCrossRef
9.
Rego, L.G.C., Santos, L.F., Batista, V.S.: Coherent control of quantum dynamics with sequences of unitary phase-kick pulses. Ann. Rev. Phys. Chem. 60(1), 293–320 (2009)ADSCrossRef
10.
11.
Khodjasteh, K., Viola, L.: Dynamically error-corrected gates for universal quantum computation. Phys. Rev. Lett. 102, 080501–080505 (2009)ADSCrossRef
12.
Viola, L., Lloyd, S.: Dynamical suppression of decoherence in two-state quantum systems. Phys. Rev. A 58, 2733–2744 (1998)ADSMathSciNetCrossRef
13.
Khodjasteh, K., Viola, L.: Dynamical quantum error correction of unitary operations with bounded controls. Phys. Rev. A 80, 032314–032333 (2009)ADSCrossRef
14.
Kabytayev, C., Green, T.J., Khodjasteh, K., Biercuk, M.J., Viola, L., Brown, K.R.: Robustness of composite pulses to time-dependent control noise. Phys. Rev. A 90, 012316–012325 (2014)ADSCrossRef
15.
Khodjasteh, K., Bluhm, H., Viola, L.: Automated synthesis of dynamically corrected quantum gates. Phys. Rev. A 86, 042329–042336 (2012)ADSCrossRef
16.
Merrill, J.T., Brown, K.R.: Progress in Compensating Pulse Sequences for Quantum Computation. Wiley, NewYork (2014)CrossRefMATH
17.
Suzuki, M.: General theory of higher-order decomposition of exponential operators and symplectic integrators. Phys. Lett. A 165, 387–395 (1992)ADSMathSciNetCrossRef
18.
Dawson, C.M., Nielsen, M.A.: The solovay–kitaev algorithm. Quant. Inf. Comp. 6, 81–95 (2006)MathSciNetMATH
19.
Brown, K.R., Harrow, A.W., Chuang, I.L.: Arbitrarily accurate composite pulse sequences. Phys. Rev. A 70, 052318–052322 (2004)ADSCrossRef
20.
Brown, K.R., Harrow, A.W., Chuang, I.L.: Erratum: Arbitrarily accurate composite pulse sequences [Phys. Rev. A 70, 052318 (2004)]. Phys. Rev. A 72, 039905 (2005)
21.
Ho, T.-S., Dominy, J., Rabitz, H.: Landscape of unitary transformations in controlled quantum dynamics. Phys. Rev. A 79, 013422–013438 (2009)ADSMathSciNetCrossRef
22.
Rabitz, H., Hsieh, M., Rosenthal, C.: Landscape for optimal control of quantum-mechanical unitary transformations. Phys. Rev. A 72, 052337–052342 (2005)ADSCrossRef
23.
Hsieh, M., Rabitz, H.: Optimal control landscape for the generation of unitary transformations. Phys. Rev. A 77, 042306–042311 (2008)ADSCrossRef
24.
Hsieh, M., Rebing, W., Rabitz, H.: Topology of the quantum control landscape for observables. J. Chem. Phys. 130(10), 10410–10416 (2009)CrossRef
25.
Rabitz, H., Ho, T.-S., Hsieh, M., Kosut, R., Demiralp, M.: Topology of optimally controlled quantum mechanical transition probability landscapes. Phys. Rev. A 74, 012721–012730 (2006)ADSCrossRef
26.
Bruer, H.-P.: The Theory of Open Quantum Systems. Oxford Univ. Press, Oxford (2002)
27.
Hocker, D., Brif, C., Grace, M.D., Donovan, A., Ho, T.-S., Tibbetts, K.M., Wu, R., Rabitz, H.: Characterization of control noise effects in optimal quantum unitary dynamics. Phys. Rev. A 90, 062309–062318 (2014)ADSCrossRef
28.
Brockwell, P.J., Davis, R.J.: Introduction to Time Series and Forecasting, 2nd edn. Springer, NewYork (2002)CrossRefMATH
29.
Stark, H., Woods, J.W.: Probability, Random Processes, and Estimation Theory for Engineers. Prentice Hall, Upper Saddle River (1986)
30.
Khaneja, N., Brockett, R., Glaser, S.J.: Time optimal control in spin systems. Phys. Rev. A 63, 032308–032321 (2001)ADSCrossRef
31.
Boscain, U., Chitour, Y.: Time-optimal synthesis for left-invariant control systems on so(3). SIAM J. Control Optim. 44(1), 111–139 (2005)MathSciNetCrossRefMATH
32.
Beltrani, V., Dominy, J., Ho, T.-S., Rabitz, H.: Exploring the top and bottom of the quantum control landscape. J. Chem. Phys. 134(19), 194106 (2011)ADSCrossRef
33.
Rothman, A., Ho, T.-S., Rabitz, H.: Exploring the level sets of quantum control landscapes. Phys. Rev. A 73, 053401–053410 (2006)ADSCrossRef
34.
David, H., Herschel R.: Meeting a high-performance quantum technology primary objective in the presence of secondary objectives. Phys. Rev. A (2016, submitted)
35.
Uhrig, G.S.: Keeping a quantum bit alive by optimized \(\pi \)-pulse sequences. Phys. Rev. Lett. 98, 100504–100508 (2007)ADSCrossRef
36.
Khodjasteh, K., Lidar, D.A., Viola, L.: Arbitrarily accurate dynamical control in open quantum systems. Phys. Rev. Lett. 104, 090501–090505 (2010)ADSCrossRef
37.
Hocker, D., Kosut, R., Rabitz, H.: Peet: a matlab tool for estimating physical gate errors in quantum information processing systems. Quant. Inf. Process. (2016). doi:10.​1007/​s11128-016-1337-5
38.
Martinis, J.M., Nam, S., Aumentado, J., Lang, K.M., Urbina, C.: Decoherence of a superconducting qubit due to bias noise. Phys. Rev. B 67, 094510–094520 (2003)ADSCrossRef
39.
Martinis, J.M.: Superconducting phase qubits. Quant. Inf. Process. 8(2–3), 81–103 (2009)CrossRef
40.
Strauch, F.W., Johnson, P.R., Dragt, A.J., Lobb, C.J., Anderson, J.R., Wellstood, F.C.: Quantum logic gates for coupled superconducting phase qubits. Phys. Rev. Lett. 91, 167005–167009 (2003)ADSCrossRef
41.
DiCarlo, L., Chow, J.M., Gambetta, J.M., Bishop, L.S., Johnson, B.R., Schuster, D.I., Majer, J., Blais, A., Frunzio, L., Girvin, S.M., Schoelkopf, R.J.: Demonstration of two-qubit algorithms with a superconducting quantum processor. Nature 460(7252), 240–244, 07 (2009)ADSCrossRef
42.
Bialczak, R.C., McDermott, R., Ansmann, M., Hofheinz, M., Katz, N., Lucero, E., Neeley, M., O’Connell, A.D., Wang, H., Cleland, A.N., Martinis, J.M.: 1/f Flux noise in Josephson phase qubits. Phys. Rev. Lett. 99, 187006–187010 (2007)ADSCrossRef
43.
Martinis, J.M., Cooper, K.B., McDermott, R., Steffen, M., Ansmann, M., Osborn, K.D., Cicak, K., Oh, S., Pappas, D.P., Simmonds, R.W., Yu, C.C.: Decoherence in Josephson qubits from dielectric loss. Phys. Rev. Lett. 95, 210503–210507 (2005)ADSCrossRef
44.
Wineland, D.J., Monroe, C., Itano, W.M., Leibfried, D., King, B.E., Meekhof, D.M.: Experimentalissuesincoherent quantum-state manipulation of trapped atomic ions. J. Res. Natl. Inst. Stand. Technol. 103(3), 259–328 (1998)CrossRefMATH
45.
Leibfried, D., DeMarco, B., Meyer, V., Lucas, D., Barrett, M., Britton, J., Itano, W.M., Jelenkovic, B., Langer, C., Rosen-band, T., Wineland, D.J.: Experimental demonstration of a robust, high-fidelity geometric two ion-qubit phase gate. Nature 422(6930), 412–415, 03 (2003)ADSCrossRef
46.
Schneider, S., Milburn, G.J.: Decoherence in ion traps due to laser intensity and phase fluctuations. Phys. Rev. A 57, 3748–3752 (1998)ADSCrossRef
47.
Saffman, M., Walker, T.G., Mølmer, K.: Quantum information with Rydberg atoms. Rev. Mod. Phys. 82, 2313–2363 (2010)ADSCrossRef
48.
Saffman, M., Walker, T.G.: Analysis of a quantum logic device based on dipole-dipole interactions of optically trapped Rydberg atoms. Phys. Rev. A 72, 022347–022368 (2005)ADSCrossRef
49.
Taylor, J.M., Petta, J.R., Johnson, A.C., Yacoby, A., Marcus, C.M., Lukin, M.D.: Relaxation, dephasing, and quantum control of electron spins in double quantum dots. Phys. Rev. B 76, 035315–035332 (2007)ADSCrossRef
50.
Coish, W.A., Loss, D.: Singlet-triplet decoherence due to nuclear spins in a double quantum dot. Phys. Rev. B 72, 125337–125349 (2005)ADSCrossRef
51.
Hu, X., Sarma, S.D.: Charge-fluctuation-induced dephasing of exchange-coupled spin qubits. Phys. Rev. Lett. 96, 100501–100505 (2006)ADSCrossRef
52.
Tibbetts, K.W.M., Brif, C., Grace, M.D., Donovan, A., Hocker, D.L., Ho, T.-S., Wu, R.-B., Rabitz, H.: Exploring the tradeoff between fidelity and time optimal control of quantum unitary transformations. Phys. Rev. A 86, 062309–062325 (2012)ADSCrossRef
Metadaten
Titel
Survey of control performance in quantum information processing
verfasst von
David Hocker
Yicong Zheng
Robert Kosut
Todd Brun
Herschel Rabitz
Publikationsdatum
01.11.2016
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 11/2016
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-016-1406-9

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