Dephasing-Insensitive Quantum Information Storage and Processing with Superconducting Qubits.

A central task towards building a practical quantum computer is to protect individual qubits from decoherence while retaining the ability to perform high-fidelity entangling gates involving arbitrary two qubits. Here we propose and demonstrate a dephasing-insensitive procedure for storing and processing quantum information in an all-to-all connected superconducting circuit involving multiple frequency-tunable qubits, each of which can be controllably coupled to any other through a central bus resonator. Although it is generally believed that the extra frequency tunability enhances the control freedom but induces more dephasing impact for superconducting qubits, our results show that any individual qubit can be dynamically decoupled from dephasing noise by applying a weak continuous and resonant driving field whose phase is reversed in the middle of the pulse. More importantly, we demonstrate a new method for realizing a two-qubit phase gate with inherent dynamical decoupling via the combination of continuous driving and qubit-qubit swapping coupling. We find that the weak continuous driving fields not only enable the conditional dynamics essential for quantum information processing, but also protect both qubits from dephasing during the gate operation.

[1]  Xing Rong,et al.  Preserving electron spin coherence in solids by optimal dynamical decoupling , 2009, Nature.

[2]  R. Barends,et al.  Superconducting quantum circuits at the surface code threshold for fault tolerance , 2014, Nature.

[3]  D. D. Awschalom,et al.  Decoherence-protected quantum gates for a hybrid solid-state spin register , 2012, Nature.

[4]  F. F. Fanchini,et al.  Continuously decoupling single-qubit operations from a perturbing thermal bath of scalar bosons , 2006, quant-ph/0611188.

[5]  S. Lloyd,et al.  DYNAMICAL SUPPRESSION OF DECOHERENCE IN TWO-STATE QUANTUM SYSTEMS , 1998, quant-ph/9803057.

[6]  D. Cory,et al.  Robust decoupling techniques to extend quantum coherence in diamond. , 2010, Physical review letters.

[7]  Dieter Suter,et al.  Robust dynamical decoupling for quantum computing and quantum memory. , 2011, Physical review letters.

[8]  D. Lidar,et al.  Fault-tolerant quantum dynamical decoupling , 2004, 2005 Quantum Electronics and Laser Science Conference.

[9]  M. B. Plenio,et al.  Robust trapped-ion quantum logic gates by continuous dynamical decoupling , 2012 .

[10]  H. C. Torrey Transient Nutations in Nuclear Magnetic Resonance , 1949 .

[11]  J. Clarke,et al.  The flux qubit revisited to enhance coherence and reproducibility , 2015, Nature Communications.

[12]  Michael J. Biercuk,et al.  Optimized dynamical decoupling in a model quantum memory , 2008, Nature.

[13]  Andrew W. Cross,et al.  Experimental Demonstration of a Resonator-Induced Phase Gate in a Multiqubit Circuit-QED System. , 2016, Physical review letters.

[14]  Xuedong Hu,et al.  Low-decoherence flux qubit , 2007 .

[15]  John M. Martinis,et al.  Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing , 2014 .

[16]  R Hanson,et al.  Universal Dynamical Decoupling of a Single Solid-State Spin from a Spin Bath , 2010, Science.

[17]  Shi-Biao Zheng Quantum-information processing and multiatom-entanglement engineering with a thermal cavity , 2002, 1202.5382.

[18]  J. Gambetta,et al.  Procedure for systematically tuning up cross-talk in the cross-resonance gate , 2016, 1603.04821.

[19]  M Lucamarini,et al.  Experimental inhibition of decoherence on flying qubits via "bang-bang" control. , 2009, Physical review letters.

[20]  Fedor Jelezko,et al.  Dynamical Decoupling of a single electron spin at room temperature , 2010, 1008.1953.

[21]  D G Cory,et al.  Driven dynamics and rotary echo of a qubit tunably coupled to a harmonic oscillator. , 2012, Physical review letters.

[22]  T. R. Tan,et al.  Demonstration of a dressed-state phase gate for trapped ions. , 2013, Physical review letters.

[23]  Ming-Cheng Chen,et al.  Solving Systems of Linear Equations with a Superconducting Quantum Processor. , 2017, Physical review letters.

[24]  M. Plenio,et al.  Robust dynamical decoupling with concatenated continuous driving , 2011, 1111.0930.

[25]  G. Guo,et al.  Reducing decoherence in quantum-computer memory with all quantum bits coupling to the same environment , 1996, quant-ph/9612003.

[26]  Michael J. Biercuk,et al.  Effect of noise correlations on randomized benchmarking , 2015, 1504.05307.

[27]  H. Fan,et al.  Emulating Many-Body Localization with a Superconducting Quantum Processor. , 2017, Physical review letters.

[28]  P. Zanardi,et al.  Noiseless Quantum Codes , 1997, quant-ph/9705044.

[29]  G. Uhrig Keeping a quantum bit alive by optimized pi-pulse sequences. , 2006, Physical review letters.

[30]  D. Cory,et al.  Noise spectroscopy through dynamical decoupling with a superconducting flux qubit , 2011 .

[31]  Daniel A. Lidar,et al.  Decoherence-Free Subspaces for Quantum Computation , 1998, quant-ph/9807004.

[32]  Siyuan Han,et al.  Suppression of Dephasing by Qubit Motion in Superconducting Circuits. , 2015, Physical review letters.

[33]  I. Solomon,et al.  ROTARY SPIN ECHOES , 1959 .

[34]  Franco Nori,et al.  Two-qubit gate operations in superconducting circuits with strong coupling and weak anharmonicity , 2012, 1201.1364.

[35]  Jian-Wei Pan,et al.  10-Qubit Entanglement and Parallel Logic Operations with a Superconducting Circuit. , 2017, Physical review letters.

[36]  G. Guo,et al.  Efficient scheme for two-atom entanglement and quantum information processing in cavity QED , 2000, Physical review letters.

[37]  G. Falci,et al.  1 / f noise: Implications for solid-state quantum information , 2013, 1304.7925.