Bibliography

Major publications by the team in recent years

• 1K. Geerlings, Z. Leghtas, I. Pop, S. Shankar, L. Frunzio, R. J. Schoelkopf, M. Mirrahimi, M. H. Devoret.
  
  Demonstrating a Driven Reset Protocol of a Superconducting Qubit, in: Phys. Rev. Lett., 2013, vol. 110, 120501.
• 2M. Hatridge, S. Shankar, M. Mirrahimi, F. Schackert, K. Geerlings, T. Brecht, K. Sliwa, B. Abdo, L. Frunzio, S. Girvin, R. J. Schoelkopf, M. H. Devoret.
  
  Quantum back-action of an individual variable-strength measurement, in: Science, 2013, vol. 339, pp. 178–181.
• 3G. Kirchmair, B. Vlastakis, Z. Leghtas, S. Nigg, H. Paik, E. Ginossar, M. Mirrahimi, L. Frunzio, S. Girvin, R. J. Schoelkopf.
  
  Observation of quantum state collapse and revival due to the single-photon Kerr effect, in: Nature, 2013, vol. 495, pp. 205–209.
• 4Z. Leghtas, G. Kirchmair, B. Vlastakis, R. J. Schoelkopf, M. H. Devoret, M. Mirrahimi.
  
  Hardware-efficient autonomous quantum memory protection, in: Phys. Rev. Lett., 2013, vol. 111, 120501.
• 5M. Mirrahimi, Z. Leghtas, V. V. Albert, S. Touzard, R. J. Schoelkopf, L. Jiang, M. H. Devoret.
  
  Dynamically protected cat-qubits: a new paradigm for universal quantum computation, in: New J. Phys., 2014, vol. 16, 045014.
• 6A. Sarlette, J.-M. Raimond, M. Brune, P. Rouchon.
  
  Stabilization of nonclassical states of the radiation field in a cavity by reservoir engineering, in: Phys. Rev. Lett., 2011, vol. 107, 010402.
• 7C. Sayrin, I. Dotsenko, X. Zhou, B. Peaudecerf, T. Rybarczyk, S. Gleyzes, P. Rouchon, M. Mirrahimi, H. Amini, M. Brune, J.-M. Raimond, S. Haroche.
  
  Real-time quantum feedback prepares and stabilizes photon number states, in: Nature, 2011, vol. 477, pp. 73–77.
• 8S. Shankar, M. Hatridge, Z. Leghtas, K. Sliwa, A. Narla, U. Vool, S. Girvin, L. Frunzio, M. Mirrahimi, M. H. Devoret.
  
  Autonomously stabilized entanglement between two superconducting quantum bits, in: Nature, 2013, vol. 504, pp. 419–422.
• 9L. Sun, A. Petrenko, Z. Leghtas, B. Vlastakis, G. Kirchmair, K. Sliwa, A. Narla, M. Hatridge, S. Shankar, J. Blumoff, L. Frunzio, M. Mirrahimi, M. H. Devoret, R. J. Schoelkopf.
  
  Tracking photon jumps with repeated quantum non-demolition parity measurements, in: Nature, 2014, vol. 511, pp. 444–448.
• 10B. Vlastakis, G. Kirchmair, Z. Leghtas, S. Nigg, L. Frunzio, S. Girvin, M. Mirrahimi, M. H. Devoret, R. J. Schoelkopf.
  
  Deterministically encoding quantum information using 100-photon Schrödinger cat states, in: Science, 2013, vol. 342, pp. 607–610.

Publications of the year

Articles in International Peer-Reviewed Journals

• 11J. Cohen, M. Mirrahimi.
  
  Dissipation-induced continuous quantum error correction for superconducting circuits, in: Physical Review A, December 2014, vol. 90, n^o 6, 9 p. [ DOI : 10.1103/PhysRevA.90.062344 ]
  
  https://hal.inria.fr/hal-01089516
• 12M. Mirrahimi, Z. Leghtas, V. V. Albert, S. Touzard, R. J. Schoelkopf, L. Jiang, M. H. Devoret.
  
  Dynamically protected cat-qubits: a new paradigm for universal quantum computation, in: New Journal of Physics, April 2014, 30 p. [ DOI : 10.1088/1367-2630/16/4/045014 ]
  
  https://hal.inria.fr/hal-01089514
• 13L. Sun, A. Petrenko, Z. Leghtas, B. Vlastakis, G. Kirchmair, K. Sliwa, A. Narla, M. Hatridge, S. Shankar, J. Blumoff, L. Frunzio, M. Mirrahimi, M. H. Devoret, R. J. Schoelkopf.
  
  Tracking photon jumps with repeated quantum non-demolition parity measurements, in: Nature, July 2014, 19 p. [ DOI : 10.1038/nature13436 ]
  
  https://hal.inria.fr/hal-01089512
• 14U. Vool, I. Pop, K. Sliwa, B. Abdo, C. Wang, T. Brecht, Y. Gao, S. Shankar, M. Hatridge, G. Catelani, M. Mirrahimi, L. Frunzio, R. J. Schoelkopf, L. Glazman, M. H. Devoret.
  
  Non-Poissonian Quantum Jumps of a Fluxonium Qubit due to Quasiparticle Excitations, in: Physical Review Letters, December 2014, vol. 113, n^o 24, 5 p. [ DOI : 10.1103/PhysRevLett.113.247001 ]
  
  https://hal.inria.fr/hal-01099948

Other Publications

• 15A. Roy, Z. Leghtas, A. D. Stone, M. H. Devoret, M. Mirrahimi.
  
  Continuous Generation and Stabilization of Mesoscopic Field Superposition States in a Quantum Circuit, December 2014.
  
  https://hal.inria.fr/hal-01089518
• 16A. Sarlette, S. Apers.
  
  Accelerating consensus by spectral clustering and polynomial filters, December 2014, to be submitted to Systems & Control Letters.
  
  https://hal.inria.fr/hal-01093939
• 17A. Sarlette.
  
  Adding a single memory per agent gives the fastest average consensus, 2014, submitted to IEEE Trans.Aut.Control.
  
  https://hal.inria.fr/hal-01093907
• 18A. Sarlette, F. Ticozzi, L. Mazzarella.
  
  Extending robustness and randomization from consensus to symmetrization algorithms, December 2014, submitted to SIAM J. on Control & Optimization.
  
  https://hal.inria.fr/hal-01093934
• 19A. Sarlette, Z. Zhang, Z. Ling.
  
  Integral Control on Lie Groups, January 2015, submitted to Systems and Control Letters.
  
  https://hal.inria.fr/hal-01093913

References in notes

• 20S. Attal, A. Joye, C.-A. Pillet (editors)
  
  Open Quantum Systems III: Recent Developments, Springer, Lecture notes in Mathematics 1880, 2006.
• 21H. Amini, M. Mirrahimi, P. Rouchon.
  
  Stabilization of a delayed quantum system: the Photon Box case-study, in: IEEE Trans. Automatic Control, 2012, vol. 57, n^o 8, pp. 1918–1930.
• 22H. Amini, C. Pellegrini, P. Rouchon.
  
  Stability of continuous-time quantum filters with measurement imperfections, in: Russian Journal of Mathematical Physics, 2014, vol. 21, pp. 297–315.
• 23H. Amini, A. Somaraju, I. Dotsenko, C. Sayrin, M. Mirrahimi, P. Rouchon.
  
  Feedback stabilization of discrete-time quantum systems subject to non-demolition measurements with imperfections and delays, in: Automatica, 2013, vol. 49, n^o 9, pp. 2683–2692.
• 24A. Barchielli, M. Gregoratti.
  
  Quantum Trajectories and Measurements in Continuous Time: the Diffusive Case, Springer Verlag, 2009.
• 25J. Barreiro, M. Muller, P. Schindler, D. Nigg, T. Monz, M. Chwalla, M. Hennrich, C. Roos, P. Zoller, R. Blatt.
  
  An open-system quantum simulator with trapped ions, in: Nature, 2011, vol. 470, 486.
• 26V. Belavkin.
  
  Quantum stochastic calculus and quantum nonlinear filtering, in: Journal of Multivariate Analysis, 1992, vol. 42, n^o 2, pp. 171–201.
• 27T. Benoist, C. Pellegrini.
  
  Large Time Behavior and Convergence Rate for Quantum Filters Under Standard Non Demolition Conditions, in: Communications in Mathematical Physics, 2014, pp. 1-21–.
  
  http://dx.doi.org/10.1007/s00220-014-2029-6
• 28G. Birkhoff.
  
  Extensions of Jentzch's theorem, in: Trans. Amer. Math. Soc., 1957, vol. 85, pp. 219–227.
• 29S. Bolognani, F. Ticozzi.
  
  Engineering stable discrete-time quantum dynamics via a canonical QR decomposition, in: IEEE Trans. Autom. Control, 2010, vol. 55.
• 30V. Braginski, F. Khalili.
  
  Quantum Measurements, Cambridge University Press, 1992.
• 31P. Campagne-Ibarcq, L. Bretheau, E. Flurin, A. Auffèves, F. Mallet, B. Huard.
  
  Observing Interferences between Past and Future Quantum States in Resonance Fluorescence, in: Phys. Rev. Lett., May 2014, vol. 112, 180402.
  
  http://link.aps.org/doi/10.1103/PhysRevLett.112.180402
• 32P. Campagne-Ibarcq, E. Flurin, N. Roch, D. Darson, P. Morfin, M. Mirrahimi, M. H. Devoret, F. Mallet, B. Huard.
  
  Persistent Control of a Superconducting Qubit by Stroboscopic Measurement Feedback, in: Phys. Rev. X, 2013, vol. 3, 021008.
• 33H. Carmichael.
  
  Statistical Methods in Quantum Optics 2: Non-Classical Fields, Spinger, 2007.
• 34H. Carmichael.
  
  An Open Systems Approach to Quantum Optics, Springer-Verlag, 1993.
• 35J. Carr.
  
  Application of Center Manifold Theory, Springer, 1981.
• 36J. Dalibard, Y. Castin, K. Mölmer.
  
  Wave-function approach to dissipative processes in quantum optics, in: Phys. Rev. Lett., 1992, vol. 68, n^o 5, pp. 580–583.
• 37M. H. Devoret, A. Wallraff, J. Martinis.
  
  Superconducting Qubits: A Short Review, 2004, arXiv:cond-mat/0411174.
• 38I. Dotsenko, M. Mirrahimi, M. Brune, S. Haroche, J.-M. Raimond, P. Rouchon.
  
  Quantum feedback by discrete quantum non-demolition measurements: towards on-demand generation of photon-number states, in: Physical Review A, 2009, vol. 80: 013805-013813.
• 39N. Fenichel.
  
  Geometric singular perturbation theory for ordinary differential equations, in: J. Diff. Equations, 1979, vol. 31, pp. 53–98.
• 40J. Gambetta, H. M. Wiseman.
  
  State and dynamical parameter estimation for open quantum systems, in: Phys. Rev. A, September 2001, vol. 64, n^o 4, 042105.
  
  http://link.aps.org/doi/10.1103/PhysRevA.64.042105
• 41S. Gammelmark, B. Julsgaard, K. Mölmer.
  
  Past Quantum States of a Monitored System, in: Phys. Rev. Lett., October 2013, vol. 111, n^o 16, 160401.
  
  http://link.aps.org/doi/10.1103/PhysRevLett.111.160401
• 42C. Gardiner, P. Zoller.
  
  Quantum Noise, third, Springer, 2010.
• 43S. Gaubert, Z. Qu.
  
  Checking the strict positivity of Kraus maps is NP-hard, in: arXiv:1402.1429, 2014.
• 44S. Gaubert, Z. Qu.
  
  The contraction rate in Thompson's part metric of order-preserving flows on a cone - Application to generalized Riccati equations, in: Journal of Differential Equations, April 2014, vol. 256, n^o 8, pp. 2902–2948.
  
  http://www.sciencedirect.com/science/article/pii/S0022039614000424
• 45D. Gottesman, A. Kitaev, J. Preskill.
  
  Encoding a qubit in an oscillator, in: Phys. Rev. A, 2001, vol. 64, 012310.
• 46C. Guerlin, J. Bernu, S. Deléglise, C. Sayrin, S. Gleyzes, S. Kuhr, M. Brune, J.-M. Raimond, S. Haroche.
  
  Progressive field-state collapse and quantum non-demolition photon counting, in: Nature, 2007, vol. 448, pp. 889-893.
• 47S. Haroche, J.-M. Raimond.
  
  Exploring the Quantum: Atoms, Cavities and Photons, Oxford University Press, 2006.
• 48T. Kato.
  
  Perturbation Theory for Linear Operators, Springer, 1966.
• 49E. Knill, R. Laflamme, G. Milburn.
  
  A scheme for efficient quantum computation with linear optics, in: Nature, 2001, vol. 409, 46.
• 50H. Krauter, C. Muschik, K. Jensen, W. Wasilewski, J. Petersen, J. Cirac, E. Polzik.
  
  Entanglement Generated by Dissipation and Steady State Entanglement of Two Macroscopic Objects, in: Phys. Rev. Lett., 2011, vol. 107, 080503.
• 51Z. Leghtas, G. Kirchmair, B. Vlastakis, M. H. Devoret, R. J. Schoelkopf, M. Mirrahimi.
  
  Deterministic protocol for mapping a qubit to coherent state superpositions in a cavity, in: Phys. Rev. A, 2013, vol. 87, 042315.
• 52Z. Leghtas, A. Sarlette, P. Rouchon.
  
  Adiabatic passage and ensemble control of quantum systems, in: J. Phys. B, 2011, vol. 44, 154017.
• 53Z. Leghtas, U. Vool, S. Shankar, M. Hatridge, S. Girvin, M. H. Devoret, M. Mirrahimi.
  
  Stabilizing a Bell state of two superconducting qubits by dissipation engineering, in: Phys. Rev. A, 2013, vol. 88, 023849.
• 54J.-S. Li, N. Khaneja.
  
  Ensemble control of Bloch equations, in: IEEE Trans. Autom. Control, 2009, vol. 54, pp. 528–536.
• 55Y. Lin, J. Gaebler, F. Reiter, T. Tan, R. Bowler, A. Sorensen, D. Leibfried, D. Wineland.
  
  Dissipative production of a maximally entangled steady state of two quantum bits, in: Nature, 2013, vol. 504, pp. 415–418.
• 56S. Lloyd.
  
  Coherent quantum feedback, in: Phys. Rev. A, 2000, vol. 62, 022108.
• 57L. Mazzarella, A. Sarlette, F. Ticozzi.
  
  Consensus for quantum networks: from symmetry to gossip iterations, in: IEEE Trans. Automat. Control, 2014, in press.
• 58M. Mirrahimi, B. Huard, M. H. Devoret.
  
  Strong measurement and quantum feedback for persistent Rabi oscillations in circuit QED experiments, in: IEEE Conference on Decision and Control, IEEE Conference on Decision and Control, 2012.
• 59K. Murch, U. Vool, D. Zhou, S. Weber, S. Girvin, I. Siddiqi.
  
  Cavity-assisted quantum bath engineering, in: Phys. Rev. Lett., 2012, vol. 109, 183602.
• 60A. Negretti, K. Mölmer.
  
  Estimation of classical parameters via continuous probing of complementary quantum observables, in: New Journal of Physics, 2013, vol. 15, n^o 12, 125002.
  
  http://stacks.iop.org/1367-2630/15/i=12/a=125002
• 61H. Nurdin, M. James, I. Petersen.
  
  Coherent quantum LQG control, in: Automatica, 2009, vol. 45, pp. 1837–1846.
• 62B. Peaudecerf, T. Rybarczyk, S. Gerlich, S. Gleyzes, J.-M. Raimond, S. Haroche, I. Dotsenko, M. Brune.
  
  Adaptive Quantum Nondemolition Measurement of a Photon Number, in: Phys. Rev. Lett., Feb 2014, vol. 112, n^o 8, 080401.
  
  http://link.aps.org/doi/10.1103/PhysRevLett.112.080401
• 63D. Petz.
  
  Monotone Metrics on matrix spaces, in: Linear Algebra and its Applications, 1996, vol. 244, pp. 81–96.
• 64J. Poyatos, J. Cirac, P. Zoller.
  
  Quantum Reservoir Engineering with Laser Cooled Trapped Ions, in: Phys. Rev. Lett., 1996, vol. 77, n^o 23, pp. 4728–4731.
• 65D. Reeb, M. J. Kastoryano, M. M. Wolf.
  
  Hilbert's projective metric in quantum information theory, in: Journal of Mathematical Physics, August 2011, vol. 52, n^o 8, 082201.
  
  http://dx.doi.org/10.1063/1.3615729
• 66D. Ristè, J. Leeuwen, H.-S. Ku, K. Lehnert, L. Dicarlo.
  
  Initialization by measurement of a superconducting quantum bit circuit, in: Phys. Rev. Lett., 2012, vol. 109, 050507.
• 67N. Roch, E. Flurin, F. Nguyen, P. Morfin, P. Campagne-Ibarcq, M. H. Devoret, B. Huard.
  
  Widely tunable, non-degenerate three-wave mixing microwave device operating near the quantum limit, in: Phys. Rev. Lett., 2012, vol. 108, 147701.
• 68P. Rouchon.
  
  Fidelity is a Sub-Martingale for Discrete-Time Quantum Filters, in: IEEE Transactions on Automatic Control, 2011, vol. 56, n^o 11, pp. 2743–2747.
• 69A. Sarlette, Z. Leghtas, M. Brune, J.-M. Raimond, P. Rouchon.
  
  Stabilization of nonclassical states of one- and two-mode radiation fields by reservoir engineering, in: Phys. Rev. A, 2012, vol. 86, 012114.
• 70D. Schuster, A. Houck, J. Schreier, A. Wallraff, J. Gambetta, A. Blais, L. Frunzio, J. Majer, B. Johnson, M. H. Devoret, S. Girvin, R. J. Schoelkopf.
  
  Resolving photon number states in a superconducting circuit, in: Nature, 2007, vol. 445, pp. 515–518.
• 71R. Sepulchre, A. Sarlette, P. Rouchon.
  
  Consensus in non-commutative spaces, in: Decision and Control (CDC), 2010 49th IEEE Conference on, 2010, pp. 6596–6601.
• 72P. Shor.
  
  Scheme for reducing decoherence in quantum memory, in: Phys. Rev. A, 1995, vol. 52, pp. 2493–2496.
• 73A. Somaraju, I. Dotsenko, C. Sayrin, P. Rouchon.
  
  Design and Stability of Discrete-Time Quantum Filters with Measurement Imperfections, in: American Control Conference, 2012, pp. 5084–5089.
• 74A. Somaraju, M. Mirrahimi, P. Rouchon.
  
  Approximate stabilization of infinite dimensional quantum stochastic system, in: Reviews in Mathematical Physics, 2013, vol. 25, 1350001.
• 75A. Steane.
  
  Error Correcting Codes in Quantum Theory, in: Phys. Rev. Lett, 1996, vol. 77, n^o 5.
• 76J. Tsitsiklis.
  
  Problems in decentralized decision making and computation, in: PhD Thesis, MIT, 1984.
• 77R. Vijay, C. Macklin, D. Slichter, S. Weber, K. Murch, R. Naik, A. Korotkov, I. Siddiqi.
  
  Stabilizing Rabi oscillations in a superconducting qubit using quantum feedback, in: Nature, 2012, vol. 490, pp. 77–80.
• 78L. Viola, E. Knill, S. Lloyd.
  
  Dynamical decoupling of open quantum system, in: Phys. Rev. Lett., 1999, vol. 82, pp. 2417-2421.
• 79X. Zhou, I. Dotsenko, B. Peaudecerf, T. Rybarczyk, C. Sayrin, S. Gleyzes, J.-M. Raimond, M. Brune, S. Haroche.
  
  Field locked to Fock state by quantum feedback with single photon corrections, in: Physical Review Letter, 2012, vol. 108, 243602.
• 80R. van Handel.
  
  The stability of quantum Markov filters, in: Infin. Dimens. Anal. Quantum Probab. Relat. Top., 2009, vol. 12, pp. 153–172.