1Frick Laboratory, Princeton University, Princeton NJ 08544, United States
2Tulane University, New Orleans, LA 70118, United States
3Khoa Vật lý và Thiên văn học, Đại học Macquarie, Sydney, NSW 2109, Úc
4Instituto de Física Enrique Gaviola, CONICET and Universidad Nacional de Córdoba, Ciudad Universitaria, X5016LAE, Córdoba, Argentina
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Tóm tắt
Speeding up the dynamics of a quantum system is of paramount importance for quantum technologies. However, in finite dimensions and without full knowledge of the details of the system, it is easily shown to be $impossible$. In contrast we show that continuous variable systems described by a certain class of quadratic Hamiltonians can be sped up without such detailed knowledge. We call the resultant procedure $textit{Hamiltonian amplification}$ (HA). The HA method relies on the application of local squeezing operations allowing for amplifying even unknown or noisy couplings and frequencies by acting on individual modes. Furthermore, we show how to combine HA with dynamical decoupling to achieve amplified Hamiltonians that are free from environmental noise. Finally, we illustrate a significant reduction in gate times of cavity resonator qubits as one potential use of HA.
Tóm tắt phổ biến
We show that a large class of Hamiltonians quadratic in the position and momentum operators can generically be amplified by local parametric drives without knowing the parameter details of the Hamiltonian. By combining our findings with dynamical decoupling, we achieve a generic speed up of the evolution a quantum system while decoherence coming from the interaction with the environment is suppressed. Even though such amplification does not work for system only composed of qubits, we demonstrate how the implementation of quantum logical gates in hybrid quantum systems can be sped up through the developed amplification scheme
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[1] L. Dicarlo, M. D. Reed, L. Sun, B. R. Johnson, J. M. Chow, J. M. Gambetta, L. Frunzio, S. M. Girvin, M. H. Devoret, and R. J. Schoelkopf. Preparation and measurement of three-qubit entanglement in a superconducting circuit. Nature, 467(7315):574–578, Sep 2010. doi:10.1038/nature09416.
https: / / doi.org/ 10.1038 / thiên nhiên09416
[2] T. A. Palomaki, J. D. Teufel, R. W. Simmonds, and K. W. Lehnert. Entangling mechanical motion with microwave fields. Science, 342(6159):710–713, Nov 2013. doi:10.1126/science.1244563.
https: / / doi.org/ 10.1126 / khoa học.1244563
[3] D. Leibfried, B. DeMarco, V. Meyer, D. Lucas, M. Barrett, J. Britton, W. M. Itano, B. Jelenković, C. Langer, T. Rosenband, and D. J. Wineland . Experimental demonstration of a robust, high-fidelity geometric two ion-qubit phase gate. Nature, 422(6930):412–415, Mar 2003. doi:10.1038/nature01492.
https: / / doi.org/ 10.1038 / thiên nhiên01492
[4] T. R. Tan, J. P. Gaebler, Y. Lin, Y. Wan, R. Bowler, D. Leibfried, and D. J. Wineland. Multi-element logic gates for trapped-ion qubits. Nature, 528(7582):380–383, Dec 2015. doi:10.1038/nature16186.
https: / / doi.org/ 10.1038 / thiên nhiên16186
[5] Thaddeus D Ladd, Fedor Jelezko, Raymond Laflamme, Yasunobu Nakamura, Christopher Monroe, and Jeremy Lloyd O’Brien. Quantum computers. Nature, 464(7285):45–53, Mar 2010. doi:10.1038/nature08812.
https: / / doi.org/ 10.1038 / thiên nhiên08812
[6] Vittorio Giovannetti, Seth Lloyd, and Lorenzo Maccone. Advances in quantum metrology. Nature Photonics, 5(4):222–229, Apr 2011. doi:10.1038/nphoton.2011.35.
https: / / doi.org/ 10.1038 / nphoton.2011.35
[7] Shimon Kolkowitz, Ania C. Bleszynski Jayich, Quirin P. Unterreithmeier, Steven D. Bennett, Peter Rabl, J. G. E. Harris, and Mikhail D. Lukin. Coherent sensing of a mechanical resonator with a single-spin qubit. Science, 335(6076):1603–1606, Mar 2012. doi:10.1126/science.1216821.
https: / / doi.org/ 10.1126 / khoa học.1216821
[8] Sebastian Deffner and Steve Campbell. Quantum speed limits: from heisenberg’s uncertainty principle to optimal quantum control. Journal of Physics A: Mathematical and Theoretical, 50(45):453001, Oct 2017. doi:10.1088/1751-8121/aa86c6.
https://doi.org/10.1088/1751-8121/aa86c6
[9] Michael R Frey. Quantum speed limits—primer, perspectives, and potential future directions. Quantum Information Processing, 15(10), Nov.
https: / / doi.org/ 10.1007 / s11128-016-1405-x
[10] Lorenza Viola, Emanuel Knill, and Seth Lloyd. Dynamical decoupling of open quantum systems. Phys. Rev. Lett., 82:2417–2421, Mar 1999. doi:10.1103/PhysRevLett.82.2417.
https: / / doi.org/ 10.1103 / PhysRevLett.82.2417
[11] Christian Arenz, Daniel Burgarth, and Robin Hillier. Dynamical decoupling and homogenization of continuous variable systems. Journal of Physics A: Mathematical and Theoretical, 50(13):135303, Mar 2017. doi:10.1088/1751-8121/aa6017.
https: / / doi.org/ 10.1088 / 1751-8121 / aa6017
[12] Daniel Lidar and Brun Todd. Quantum error correction, Sep 2013. doi:10.1017/CBO9781139034807.
https: / / doi.org/ 10.1017 / CBO9781139034807
[13] Daniel A. Lidar, Paolo Zanardi, and Kaveh Khodjasteh. Distance bounds on quantum dynamics. Phys. Rev. A, 78:012308, Jul 2008. doi:10.1103/PhysRevA.78.012308.
https: / / doi.org/ 10.1103 / PhysRevA.78.012308
[14] C. Leroux, L. C. G. Govia, and A. A. Clerk. Enhancing cavity quantum electrodynamics via antisqueezing: Synthetic ultrastrong coupling. Phys. Rev. Lett., 120:093602, Mar 2018. doi:10.1103/PhysRevLett.120.093602.
https: / / doi.org/ 10.1103 / PhysRevLett.120.093602
[15] Xin-You Lü, Ying Wu, J. R. Johansson, Hui Jing, Jing Zhang, and Franco Nori. Squeezed optomechanics with phase-matched amplification and dissipation. Phys. Rev. Lett., 114:093602, Mar 2015. doi:10.1103/PhysRevLett.114.093602.
https: / / doi.org/ 10.1103 / PhysRevLett.114.093602
[16] Marc-Antoine Lemonde, Nicolas Didier, and Aashish A. Clerk. Enhanced nonlinear interactions in quantum optomechanics via mechanical amplification. Nature Communications, 7:11338, Apr 2016. doi:10.1038/ncomms11338.
https: / / doi.org/ 10.1038 / ncomms11338
[17] J Alonso, F M Leupold, B C Keitch, and J P Home. Quantum control of the motional states of trapped ions through fast switching of trapping potentials. New Journal of Physics, 15(2):023001, Feb 2013. doi:10.1088/1367-2630/15/2/023001.
https://doi.org/10.1088/1367-2630/15/2/023001
[18] J. S. Waugh, L. M. Huber, and U. Haeberlen. Approach to high-resolution nmr in solids. Phys. Rev. Lett., 20:180–182, Jan 1968. doi:10.1103/PhysRevLett.20.180.
https: / / doi.org/ 10.1103 / PhysRevLett.20.180
[19] Alessandro Ferraro, Stefano Olivares, and Matteo GA Paris. Gaussian states in quantum information. Bibliopolis, 2005. URL: https://air.unimi.it/handle/2434/15713#.Xrr7cy-z1hE.
https://air.unimi.it/handle/2434/15713#.Xrr7cy-z1hE
[20] Alessio Serafini. Quantum continuous variables: a primer of theoretical methods. CRC press, 2017. doi:https://doi.org/10.1201/9781315118727.
https: / / doi.org/ 10.1201 / 9781315118727
[21] Leonard Mandel and Emil Wolf. Optical coherence and quantum optics. Cambridge university press, 1995. doi:10.1017/CBO9781139644105.
https: / / doi.org/ 10.1017 / CBO9781139644105
[22] Markus Aspelmeyer, Tobias J. Kippenberg, and Florian Marquardt. Cavity optomechanics. Rev. Mod. Phys., 86:1391–1452, Dec 2014. doi:10.1103/RevModPhys.86.1391.
https: / / doi.org/ 10.1103 / RevModPhys.86.1391
[23] Masuo Suzuki. Decomposition formulas of exponential operators and lie exponentials with some applications to quantum mechanics and statistical physics. Journal of mathematical physics, 26(4):601–612, 1985. doi:10.1063/1.526596.
https: / / doi.org/ 10.1063 / 1.526596
[24] Rebing Wu, Raj Chakrabarti, and Herschel Rabitz. Optimal control theory for continuous-variable quantum gates. Phys. Rev. A, 77:052303, May 2008. doi:10.1103/PhysRevA.77.052303.
https: / / doi.org/ 10.1103 / PhysRevA.77.052303
[25] Marco G. Genoni, Alessio Serafini, M. S. Kim, and Daniel Burgarth. Dynamical recurrence and the quantum control of coupled oscillators. Phys. Rev. Lett., 108:150501, Apr 2012. doi:10.1103/PhysRevLett.108.150501.
https: / / doi.org/ 10.1103 / PhysRevLett.108.150501
[26] Roger S. Bliss and Daniel Burgarth. Quantum control of infinite-dimensional many-body systems. Phys. Rev. A, 89:032309, Mar 2014. doi:10.1103/PhysRevA.89.032309.
https: / / doi.org/ 10.1103 / PhysRevA.89.032309
[27] Leonardo Banchi, Samuel L. Braunstein, and Stefano Pirandola. Quantum fidelity for arbitrary gaussian states. Phys. Rev. Lett., 115:260501, Dec 2015. doi:10.1103/PhysRevLett.115.260501.
https: / / doi.org/ 10.1103 / PhysRevLett.115.260501
[28] D. Vitali and P. Tombesi. Using parity kicks for decoherence control. Phys. Rev. A, 59:4178–4186, Jun 1999. doi:10.1103/PhysRevA.59.4178.
https: / / doi.org/ 10.1103 / PhysRevA.59.4178
[29] A. Wallraff, D. I. Schuster, A. Blais, L. Frunzio, R. S. Huang, J. Majer, S. Kumar, S. M. Girvin, and R. J. Schoelkopf. Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics. Nature, 431(7005):162–167, Sep 2004. doi:10.1038/nature02851.
https: / / doi.org/ 10.1038 / thiên nhiên02851
[30] Mika A Sillanpää, Jae I Park, and Raymond W Simmonds. Coherent quantum state storage and transfer between two phase qubits via a resonant cavity. Nature, 449(7161):438–442, Jul 2007. doi:10.1038/nature06124.
https: / / doi.org/ 10.1038 / thiên nhiên06124
[31] Alexandre Blais, Jay Gambetta, A. Wallraff, D. I. Schuster, S. M. Girvin, M. H. Devoret, and R. J. Schoelkopf. Quantum-information processing with circuit quantum electrodynamics. Phys. Rev. A, 75:032329, Mar 2007. doi:10.1103/PhysRevA.75.032329.
https: / / doi.org/ 10.1103 / PhysRevA.75.032329
[32] R. Blatt and C. F. Roos. Quantum simulations with trapped ions. Nature Physics, 8(4):277–284, Apr 2012. doi:10.1038/nphys2252.
https: / / doi.org/ 10.1038 / nphys2252
[33] Stephan Welte, Bastian Hacker, Severin Daiss, Stephan Ritter, and Gerhard Rempe. Photon-mediated quantum gate between two neutral atoms in an optical cavity. Phys. Rev. X, 8:011018, Feb 2018. doi:10.1103/PhysRevX.8.011018.
https: / / doi.org/ 10.1103 / PhysRevX.8.011018
[34] Alessio Serafini, Alex Retzker, and Martin B Plenio. Generation of continuous variable squeezing and entanglement of trapped ions in time-varying potentials. Quantum Information Processing, 8(6):619, 2009. doi:10.1007/s11128-009-0141-x.
https: / / doi.org/ 10.1007 / s11128-009-0141-x
[35] H Pino, J Prat-Camps, K Sinha, B Prasanna Venkatesh, and O Romero-Isart. On-chip quantum interference of a superconducting microsphere. Quantum Science and Technology, 3(2):025001, Jan 2018. doi:10.1088/2058-9565/aa9d15.
https://doi.org/10.1088/2058-9565/aa9d15
[36] K. Lake, S. Weidt, J. Randall, E. D. Standing, S. C. Webster, and W. K. Hensinger. Generation of spin-motion entanglement in a trapped ion using long-wavelength radiation. Phys. Rev. A, 91:012319, Jan 2015. doi:10.1103/PhysRevA.91.012319.
https: / / doi.org/ 10.1103 / PhysRevA.91.012319
[37] J. I. Cirac, P. Zoller, H. J. Kimble, and H. Mabuchi. Quantum state transfer and entanglement distribution among distant nodes in a quantum network. Phys. Rev. Lett., 78:3221–3224, Apr 1997. doi:10.1103/PhysRevLett.78.3221.
https: / / doi.org/ 10.1103 / PhysRevLett.78.3221
[38] Christian Arenz and Herschel Rabitz. Controlling qubit networks in polynomial time. Phys. Rev. Lett., 120:220503, May 2018. doi:10.1103/PhysRevLett.120.220503.
https: / / doi.org/ 10.1103 / PhysRevLett.120.220503
[39] S. C. Burd, R. Srinivas, J. J. Bollinger, A. C. Wilson, D. J. Wineland, D. Leibfried, D. H. Slichter, and D. T. C. Allcock. Quantum amplification of mechanical oscillator motion. Science, 364(6446):1163–1165, 2019. doi:10.1126/science.aaw2884.
https: / / doi.org/ 10.1126 / science.aaw2884
[40] Lorenza Viola and Emanuel Knill. Robust dynamical decoupling of quantum systems with bounded controls. Phys. Rev. Lett., 90:037901, Jan 2003. doi:10.1103/PhysRevLett.90.037901.
https: / / doi.org/ 10.1103 / PhysRevLett.90.037901
[41] K. Khodjasteh and D. A. Lidar. Fault-tolerant quantum dynamical decoupling. Phys. Rev. Lett., 95:180501, Oct 2005. doi:10.1103/PhysRevLett.95.180501.
https: / / doi.org/ 10.1103 / PhysRevLett.95.180501
[42] JM Cai, Boris Naydenov, Rainer Pfeiffer, Liam P McGuinness, Kay D Jahnke, Fedor Jelezko, Martin B Plenio, and Alex Retzker. Robust dynamical decoupling with concatenated continuous driving. New Journal of Physics, 14(11):113023, 2012. doi:10.1088/1367-2630/14/11/113023.
https://doi.org/10.1088/1367-2630/14/11/113023
[43] Margret Heinze and Robert König. Universal uhrig dynamical decoupling for bosonic systems. Phys. Rev. Lett., 123:010501, Jul 2019. doi:10.1103/PhysRevLett.123.010501.
https: / / doi.org/ 10.1103 / PhysRevLett.123.010501
[44] Steffen J Glaser, Ugo Boscain, Tommaso Calarco, Christiane P Koch, Walter Köckenberger, Ronnie Kosloff, Ilya Kuprov, Burkhard Luy, Sophie Schirmer, Thomas Schulte-Herbrüggen, et al. Training schrödinger’s cat: quantum optimal control. The European Physical Journal D, 69(12):279, 2015. doi:10.1140/epjd/e2015-60464-1.
https: / / doi.org/ 10.1140 / epjd / e2015-60464-1
Trích dẫn
[1] S. C. Burd, R. Srinivas, J. J. Bollinger, A. C. Wilson, D. J. Wineland, D. Leibfried, D. H. Slichter, and D. T. C. Allcock, “Quantum amplification of mechanical oscillator motion”, Khoa học 364 6446, 1163 (2019).
[2] David Trillo, Benjamin Dive, and Miguel Navascues, “Translating Uncontrolled Systems in Time”, arXiv: 1903.10568.
[3] Hoi-Kwan Lau and Aashish A. Clerk, “High-fidelity bosonic quantum state transfer using imperfect transducers and interference”, npj Thông tin lượng tử 5, 31 (2019).
[4] Wenchao Ge, Brian Sawyer, Joe Britton, Kurt Jacobs, John Bollinger, and Michael Foss-Feig, “Trapped Ion Quantum Information Processing with Squeezed Phonons”, arXiv: 1807.00924.
[5] Wenchao Ge, Brian C. Sawyer, Joseph W. Britton, Kurt Jacobs, Michael Foss-Feig, and John J. Bollinger, “Stroboscopic approach to trapped-ion quantum information processing with squeezed phonons”, Đánh giá vật lý A 100 4, 043417 (2019).
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