Demonstration of an All-Microwave Controlled-Phase Gate between Far-Detuned Qubits

A challenge in building large-scale superconducting quantum processors is to find the right balance between coherence, qubit addressability, qubit-qubit coupling strength, circuit complexity and the number of required control lines. Leading all-microwave approaches for coupling two qubits require comparatively few control lines and benefit from high coherence but suffer from frequency crowding and limited addressability in multi-qubit settings. Here, we overcome these limitations by realizing an all-microwave controlled-phase gate between two transversely coupled transmon qubits which are far detuned compared to the qubit anharmonicity. The gate is activated by applying a single, strong microwave tone to one of the qubits, inducing a coupling between the two-qubit $|f,g\rangle$ and $|g,e\rangle$ states, with $|g\rangle$, $|e\rangle$, and $|f\rangle$ denoting the lowest energy states of a transmon qubit. Interleaved randomized benchmarking yields a gate fidelity of $97.5\pm 0.3 \%$ at a gate duration of $126\,\rm{ns}$, with the dominant error source being decoherence. We model the gate in presence of the strong drive field using Floquet theory and find good agreement with our data. Our gate constitutes a promising alternative to present two-qubit gates and could have hardware scaling advantages in large-scale quantum processors as it neither requires additional drive lines nor tunable couplers.

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

[2]  P. Hänggi,et al.  Driven quantum tunneling , 1998 .

[3]  S. Girvin,et al.  Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation , 2004, cond-mat/0402216.

[4]  L. Vandersypen,et al.  NMR techniques for quantum control and computation , 2004, quant-ph/0404064.

[5]  David Schuster,et al.  Circuit quantum electrodynamics , 2007 .

[6]  S. Girvin,et al.  Charge-insensitive qubit design derived from the Cooper pair box , 2007, cond-mat/0703002.

[7]  P. Maurer,et al.  Using Sideband Transitions for Two-Qubit Operations in Superconducting Circuits , 2008, 0812.2678.

[8]  L. DiCarlo,et al.  Demonstration of two-qubit algorithms with a superconducting quantum processor , 2009, Nature.

[9]  J M Gambetta,et al.  Simple pulses for elimination of leakage in weakly nonlinear qubits. , 2009, Physical review letters.

[10]  Chad Rigetti,et al.  Fully microwave-tunable universal gates in superconducting qubits with linear couplings and fixed transition frequencies , 2010 .

[11]  L. DiCarlo,et al.  Fast reset and suppressing spontaneous emission of a superconducting qubit , 2010, 1003.0142.

[12]  S. Filipp,et al.  Control and tomography of a three level superconducting artificial atom. , 2010, Physical review letters.

[13]  Luigi Frunzio,et al.  Optimized driving of superconducting artificial atoms for improved single-qubit gates , 2010 .

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

[15]  J. M. Gambetta,et al.  Analytic control methods for high-fidelity unitary operations in a weakly nonlinear oscillator , 2010, 1011.1949.

[16]  John A Smolin,et al.  Entanglement of two superconducting qubits in a waveguide cavity via monochromatic two-photon excitation. , 2012, Physical review letters.

[17]  M Steffen,et al.  Efficient measurement of quantum gate error by interleaved randomized benchmarking. , 2012, Physical review letters.

[18]  J. Gambetta,et al.  Universal quantum gate set approaching fault-tolerant thresholds with superconducting qubits. , 2012, Physical review letters.

[19]  E Knill,et al.  Randomized benchmarking of multiqubit gates. , 2012, Physical review letters.

[20]  P Bertet,et al.  Characterization of a two-transmon processor with individual single-shot qubit readout. , 2012, Physical review letters.

[21]  Jay M. Gambetta,et al.  Process verification of two-qubit quantum gates by randomized benchmarking , 2012, 1210.7011.

[22]  Andrew W. Cross,et al.  Microwave-activated conditional-phase gate for superconducting qubits , 2013, 1307.2594.

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

[24]  Andrew W. Cross,et al.  Optimized pulse shapes for a resonator-induced phase gate , 2014, 1411.5436.

[25]  Daniel Sank,et al.  Fast accurate state measurement with superconducting qubits. , 2014, Physical review letters.

[26]  Andrew W. Cross,et al.  Investigating the limits of randomized benchmarking protocols , 2013, 1308.2928.

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

[28]  S. Berger,et al.  Microwave-Controlled Generation of Shaped Single Photons in Circuit Quantum Electrodynamics , 2013, 1308.4094.

[29]  A N Cleland,et al.  Qubit Architecture with High Coherence and Fast Tunable Coupling. , 2014, Physical review letters.

[30]  E. Sjoqvist Geometric phases in quantum information , 2015, 1503.04847.

[31]  Jay M. Gambetta,et al.  Building logical qubits in a superconducting quantum computing system , 2015, 1510.04375.

[32]  Jay M. Gambetta,et al.  Reducing Spontaneous Emission in Circuit Quantum Electrodynamics by a Combined Readout/Filter Technique , 2015, IEEE Transactions on Applied Superconductivity.

[33]  I. Siddiqi,et al.  A near–quantum-limited Josephson traveling-wave parametric amplifier , 2015, Science.

[34]  S. Berger,et al.  Microwave-Induced Amplitude and Phase Tunable Qubit-Resonator Coupling in Circuit Quantum Electrodynamics , 2015, 1502.03692.

[35]  Philip Reinhold,et al.  High-contrast qubit interactions using multimode cavity QED. , 2014, Physical review letters.

[36]  A. A. Abdumalikov,et al.  Measurement of a vacuum-induced geometric phase , 2016, Science Advances.

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

[38]  Jay M. Gambetta,et al.  Universal Gate for Fixed-Frequency Qubits via a Tunable Bus , 2016, 1604.03076.

[39]  Zijun Chen,et al.  Measuring and Suppressing Quantum State Leakage in a Superconducting Qubit. , 2015, Physical review letters.

[40]  Blake R. Johnson,et al.  Unsupervised Machine Learning on a Hybrid Quantum Computer , 2017, 1712.05771.

[41]  C. K. Andersen,et al.  Low-Latency Digital Signal Processing for Feedback and Feedforward in Quantum Computing and Communication , 2017, 1709.01030.

[42]  J. Gambetta,et al.  Efficient Z gates for quantum computing , 2016, 1612.00858.

[43]  Andreas Wallraff,et al.  Deterministic Quantum State Transfer and Generation of Remote Entanglement using Microwave Photons , 2018 .

[44]  Daniel J. Egger,et al.  Pulsed Reset Protocol for Fixed-Frequency Superconducting Qubits , 2018, Physical Review Applied.

[45]  Xiaobo Zhu,et al.  Dephasing-Insensitive Quantum Information Storage and Processing with Superconducting Qubits. , 2018, Physical review letters.

[46]  L. Frunzio,et al.  Fault-tolerant measurement of a quantum error syndrome , 2018, 1803.00102.

[47]  H. Neven,et al.  Fluctuations of Energy-Relaxation Times in Superconducting Qubits. , 2018, Physical review letters.

[48]  D. Russell,et al.  Parametrically Activated Entangling Gates Using Transmon Qubits , 2017, Physical Review Applied.

[49]  C. K. Andersen,et al.  Rapid High-fidelity Multiplexed Readout of Superconducting Qubits , 2018, Physical Review Applied.

[50]  A. Blais,et al.  Fast and Unconditional All-Microwave Reset of a Superconducting Qubit. , 2018, Physical review letters.

[51]  S. Gasparinetti,et al.  Deterministic quantum state transfer and remote entanglement using microwave photons , 2017, Nature.

[52]  Markus Brink,et al.  Device challenges for near term superconducting quantum processors: frequency collisions , 2018, 2018 IEEE International Electron Devices Meeting (IEDM).

[53]  Lev S. Bishop,et al.  CIRCUIT QUANTUM ELECTRODYNAMICS , 2010, Mesoscopic Physics meets Quantum Engineering.

[54]  John C. Platt,et al.  Quantum supremacy using a programmable superconducting processor , 2019, Nature.

[55]  Andrew A. Houck,et al.  Suppression of Qubit Crosstalk in a Tunable Coupling Superconducting Circuit , 2018, Physical Review Applied.

[56]  Alexandre Blais,et al.  Quantum Communication with Time-Bin Encoded Microwave Photons , 2018, Physical Review Applied.

[57]  Ivano Tavernelli,et al.  Entanglement Generation in Superconducting Qubits Using Holonomic Operations , 2018, Physical Review Applied.

[58]  Andrew W. Cross,et al.  Validating quantum computers using randomized model circuits , 2018, Physical Review A.

[59]  B. Foxen,et al.  Diabatic Gates for Frequency-Tunable Superconducting Qubits. , 2019, Physical review letters.

[60]  Barbara M. Terhal,et al.  Fast, High-Fidelity Conditional-Phase Gate Exploiting Leakage Interference in Weakly Anharmonic Superconducting Qubits. , 2019, Physical review letters.

[61]  A. Wallraff,et al.  Engineering cryogenic setups for 100-qubit scale superconducting circuit systems , 2018, EPJ Quantum Technology.

[62]  Morten Kjaergaard,et al.  Superconducting Qubits: Current State of Play , 2019, Annual Review of Condensed Matter Physics.

[63]  S. Lloyd,et al.  A Quantum Instruction Set Implemented on a Superconducting Quantum Processor , 2020, 2001.08838.

[64]  D. Bacon,et al.  Demonstrating a Continuous Set of Two-Qubit Gates for Near-Term Quantum Algorithms. , 2020, Physical review letters.

[65]  C. K. Andersen,et al.  Benchmarking Coherent Errors in Controlled-Phase Gates due to Spectator Qubits , 2020, 2005.05914.

[66]  C. K. Andersen,et al.  Repeated quantum error detection in a surface code , 2019, Nature Physics.

[67]  D. McKay,et al.  Suppression of Unwanted ZZ Interactions in a Hybrid Two-Qubit System. , 2020, Physical review letters.