Preprints

A stabilized logical quantum bit encoded in grid states of a superconducting cavity , P. Campagne-Ibarcq, A. Eickbusch, S. Touzard, E. Zalys-Geller, N.E. Frattini, V.V. Sivak, P. Reinhold, S. Puri, S. Shankar, R.J. Schoelkopf, L. Frunzio, M. Mirrahimi, M.H. Devoret, ArXiv:1907.12487.

The Kerr-cat qubit: stabilization, readout, and gates , A. Grimm, N.E. Frattini, S. Puri, S.O. Mundhada, S. Touzard, M. Mirrahimi, S.M. Girvin, S. Shankar, M.H. Devoret, ArXiv:1907.12131.

2020

Exponential suppression of bit-flips in a qubit encoded in an oscillator, R. Lescanne, M. Villiers, T. Peronnin, A. Sarlette, M. Delbecq, B. Huard, T. Kontos, M. Mirrahimi, Z. Leghtas, Nature Physics (preprint)

Exponential stabilization of quantum systems under continuous non-demolition measurements, G. Cardona, A. Sarlette, P. Rouchon, Automatica 112, 108719 (preprint)

2019

Repetition Cat Qubits for Fault-Tolerant Quantum Computation, J. Guillaud and M. Mirrahimi, Physical Review X 9, 041053 (preprint)

Continuous-time quantum error correction with noise-assisted quantum feedback , G. Cardona, A. Sarlette, P. Rouchon, 11th IFAC Symposium on Nonlinear Control Systems (preprint)

Quantum Fast-Forwarding: Markov Chains and Graph Property Testing , S. Apers, A. Sarlette, Quantum Information and Computation 19, 191--213 (preprint)

Experimental implementation of a Raman-assisted eight-wave mixing process , S.O. Mundhada, A. Grimm, J. Venkatraman, Z. K. Minev, S. Touzard, N. E. Frattini, V. V. Sivak, K. Sliwa, P. Reinhold, S. Shankar, M. Mirrahimi, M. H. Devoret, Phys. Rev. Applied 12, 054051 (preprint)

To catch and reverse a quantum jump mid-flight , Z.K. Minev, S.O. Mundhada, S. Shankar, P. Reinhold, R. Gutierrez-Jauregui, R.J. Schoelkopf, M. Mirrahimi, H.J. Carmichael, M.H. Devoret, Nature 570, 200-204 (preprint)

Benchmarking maximum-likelihood state estimation with an entangled two-cavity state , V. Métillon, S. Gerlich, M. Brune, J. M. Raimond, P. Rouchon, and I. Dotsenko, Phys. Rev. Lett. 123, 060404 (preprint)

Highly coherent spin states in carbon nanotubes coupled to cavity photons , T. Cubaynes, M.R. Delbecq, M.C. Dartiailh, R. Assouly, M.M. Desjardins, L.C. Contamin, L.E. Bruhat, Z. Leghtas, F. Mallet, A. Cottet, T. Kontos , npj Quantum Information 5, 47 (preprint)

Stabilized Cat in a driven nonlinear cavity: a fault-tolerant error syndrome detector , S. Puri, A. Grimm, P. Campagne-Ibarcq, A. Eickbusch, K. Noh, G. Roberts, L. Jiang, M. Mirrahimi, M.H. Devoret, S.M. Girvin, Phys. Rev. X 9, 041009 (preprint)

Structural instability of driven Josephson circuits prevented by an inductive shunt , L. Verney, R. Lescanne, M.H. Devoret, Z. Leghtas, M. Mirrahimi, Phys. Rev. Applied 11, 024003 (preprint)

Escape of a driven quantum Josephson circuit into unconfined states , R. Lescanne, L. Verney, Q. Ficheux, M.H. Devoret, B. Huard, M. Mirrahimi, Z. Leghtas, Phys. Rev. Applied 11, 014030 (preprint)

2018

Demonstration of an effective ultrastrong coupling between two oscillators , D. Markovic, S. Jezouin, Q. Ficheux, S. Fedortchenko, S. Felicetti, T. Coudreau, P. Milman, Z. Leghtas, and B. Huard, Phys. Rev. Lett. 121, 040505 (preprint)

Fault-tolerant detection of a quantum error , S. Rosenblum, P. Reinhold, M. Mirrahimi, L. Jiang, L. Frunzio, R. J. Schoelkopf, Science 361, 6399 (preprint)

Dynamics of a qubit while simultaneously monitoring its relaxation and dephasing , Q. Ficheux, S. Jezouin, Z. Leghtas, B. Huard, Nature Comm. 9, 1956 (preprint)

A CNOT gate between multiphoton qubits encoded in two cavities , S. Rosenblum, Y.Y. Gao, P. Reinhold, C. Wang, C.J. Axline, L. Frunzio, S.M. Girvin, L. Jiang, M. Mirrahimi, M.H. Devoret, R. J. Schoelkopf, Nature Comm. 9, 652 (preprint)

Coherent oscillations inside a quantum manifold stabilized by dissipation , S. Touzard, A. Grimm, Z. Leghtas, S.O. Mundhada, P. Reinhold, R. Heeres, C. Axline, M. Reagor, K. Chou, J. Blumoff, K.M. Sliwa, S. Shankar, L. Frunzio, R.J. Schoelkopf, M. Mirrahimi and M.H. Devoret, Phys. Rev. X 8, 021005 (preprint)

Remote entanglement stabilization and concentration by quantum reservoir engineering , N. Didier, J. Guillaud, S. Shankar and M. Mirrahimi, Phys. Rev. A 98, 012329 (preprint)

Simulation of quantum walks and fast mixing with classical processes , S. Apers, A. Sarlette and F. Ticozzi, Phys. Rev. A 98, 032115 (preprint)

2017

Degeneracy-preserving quantum nondemolition measurement of parity-type observables for cat qubits , J. Cohen, W.C. Smith, M.H. Devoret and M. Mirrahimi, Phys. Rev. Lett. 119, 060503 (preprint)

Towards generic adiabatic elimination for bipartite open quantum systems , R. Azouit, F. Chittaro, A. Sarlette, P. Rouchon IOP Quantum Science and Technology , (preprint)

Discrete-time reservoir engineering with entangled bath and stabilizing squeezed states , Z. Miao and A. Sarlette, IOP Quantum Science and Technology 2, 3 (preprint)

Generating higher order quantum dissipation from lower order parametric processes , S.O. Mundhada, A. Grimm, S. Touzard, U. Vool, S. Shankar, M.H. Devoret and M. Mirrahimi, IOP Quantum Science and Technology 2, 2 (preprint)

Asymptotic expansions of Laplace integrals for quantum state tomography , P. Six and P. Rouchon, in: Petit N. (eds) Feedback Stabilization of Controlled Dynamical Systems. Lecture Notes in Control and Information Sciences 473. Springer, Cham (preprint)

Loss-tolerant parity measurement for distant quantum bits , A. Sarlette and M. Mirrahimi, Phys. Rev. A 95, 032329 (preprint)

Deterministic submanifolds and analytic solution of the quantum stochastic differential master equation describing a monitored qubit , A. Sarlette and P. Rouchon, J. of Math. Phys. 58, 6 (preprint)

Structure-preserving adiabatic elimination for open bipartite quantum systems , R. Azouit, F. Chittaro, A. Sarlette, P. Rouchon, IFAC World Congress

2016

Cat-qubits for quantum computation , M. Mirrahimi, Comptes Rendus Physique 17, 778

Extending the lifetime of a quantum bit with error correction in superconducting circuits , N. Ofek, A. Petrenko, R. Heeres, P. Reinhold, Z. Leghtas, B. Vlastakis, Y. Liu, L. Frunzio, S. M. Girvin, L. Jiang, M. Mirrahimi, M. H. Devoret, R. J. Schoelkopf, Nature 536, 441 (preprint)

Accelerating consensus by spectral clustering and polynomial filters , S. Apers and A. Sarlette, IEEE Trans. Control of Network Systems PP, 1 (preprint)

Adding a single state memory optimally accelerates symmetric linear maps , A. Sarlette, IEEE Trans. Autom. Control 61, 3533 (preprint)

Using spontaneous emission of a qubit as a resource for feedback control , P. Campagne-Ibarcq, S. Jezouin, N. Cottet, P. Six, L. Bretheau, F. Mallet, A. Sarlette, P. Rouchon, B. Huard, Phys. Rev. Lett. 117, 060502 (preprint)

Adiabatic elimination for open quantum systems with effective Lindblad master equations , R. Azouit, A. Sarlette, P. Rouchon, IEEE 55th Conference on Decision and Control, 4559-4565

Well-posedness and convergence of the Lindblad master equation for a quantum harmonic oscillator with multi-photon drive and damping , R. Azouit, A. Sarlette, P. Rouchon, ESAIM:COCV 22, 1353 (preprint)

Quantum gate generation for systems with drift in U(n) using Lyapunov-LaSalle techniques , H.B. Silveira, P.S.P. da Silva, P. Rouchon, International Journal of Control , 1-16

A Schrodinger cat living in two boxes , C. Wang, Y.Y. Gao, P. Reinhold, R.W. Heeres, N. Ofek, K. Chou, C. Axline, M. Reagor, J. Blumoff, K.M. Sliwa, L. Frunzio, S.M. Girvin, Liang Jiang, M. Mirrahimi, M.H. Devoret, R.J. Schoelkopf, Science 352, 1087 (preprint)

Anatomy of Fluorescence: Quantum trajectory statistics from continuously measuring spontaneous emission , A.N. Jordan, A. Chantasri, P. Rouchon, B. Huard, Quantum Stud.: Math. Found. 3, 237 (preprint)

Holonomic quantum control with continuous variable systems , V.V. Albert, C. Shu, S. Krastanov, C. Shen, R.-B. Liu, Z.-B. Yang, R.J. Schoelkopf, M. Mirrahimi, M.H. Devoret, and L. Jiang, Phys. Rev. Lett. 116, 140502 (preprint)

Observing quantum state diffusion by heterodyne detection of fluorescence , P. Campagne-Ibarcq, P. Six, L. Bretheau, A. Sarlette, M. Mirrahimi, P. Rouchon, and B. Huard, Phys. Rev. X 6, 011002

Quantum state tomography with noninstantaneous measurements, imperfections, and decoherence , P. Six, P. Campagne-Ibarcq, I. Dotsenko, A. Sarlette, B. Huard, and P. Rouchon, Phys. Rev. A 93, 012109 (preprint)

2015

Characterizing entanglement of an artificial atom and a cavity cat state with Bell’s inequality , B. Vlastakis, A. Petrenko, N. Ofek, L. Sun, Z. Leghtas, K. Sliwa, Y. Liu, M. Hatridge, J. Blumoff, L. Frunzio, M. Mirrahimi, L. Jiang, M.H. Devoret and R.J. Schoelkopf, Nature Communications 6, 8970 (preprint)

Single-photon-resolved cross-Kerr interaction for autonomous stabilization of photon-number states , E. T. Holland, B. Vlastakis, R. W. Heeres, M. J. Reagor, U. Vool, Z. Leghtas, L. Frunzio, G. Kirchmair, M. H. Devoret, M. Mirrahimi, and R.J. Schoelkopf, Phys. Rev. Lett. 115, 180501 (preprint)

Convergence and adiabatic elimination for a driven dissipative quantum harmonic oscillator , R. Azouit, A. Sarlette, P. Rouchon, 54th IEEE Conference on Decision and Control (preprint)

Stabilization of photon-number states via single-photon corrections: a first convergence analysis under an ideal set-up , H. Bessa Silveira, P.S. Pereira da Silva, P. Rouchon, 54th IEEE Conference on Decision and Control (preprint)

Parameter estimation from measurements along quantum trajectories , P. Six, P. Campagne-Ibarcq, L. Bretheau, B. Huard, and P. Rouchon, 54th IEEE Conference on Decision and Control (preprint)

Adaptive low-rank approximation and denoised Monte-Carlo approach for high-dimensional Lindblad equations , C. Le Bris, P. Rouchon, J. Roussel, Phys. Rev. A 92, 062126 (preprint)

Quantum dynamics of an electromagnetic mode that cannot contain N photons , L. Bretheau, P. Campagne-Ibarcq, E. Flurin, F. Mallet, B. Huard, Science 348, 776-779 (preprint)

Optimal design for the Josephson mixer , J.-D. Pillet, E. Flurin, F. Mallet, and B. Huard, Applied Physics Letters 106, 222603 (preprint)

Confining the state of light to a quantum manifold by engineered two-photon loss , Z. Leghtas, S. Touzard, I.M. Pop, A. Kou, B. Vlastakis, A. Petrenko, K.M. Sliwa, A. Narla, S. Shankar, M.J. Hatridge, M. Reagor, L. Frunzio, R.J. Schoelkopf, M. Mirrahimi and M.H. Devoret, Science 347, 853-857 (preprint)

Superconducting quantum node for entanglement and storage of microwave radiation , E. Flurin, N. Roch, J.-D. Pillet, F. Mallet and B. Huard, Phys. Rev. Lett. 114, 090503

Continuous generation and stabilization of mesoscopic field superposition states in a quantum circuit , A. Roy, Z. Leghtas, A.D. Stone, M.H. Devoret, and M. Mirrahimi, Phys. Rev. A 91, 013810 (preprint)

Efficient quantum filtering for quantum feedback control , P. Rouchon and J. Ralph, Phys. Rev. A 91, 012118 (preprint)

Consensus for quantum networks: from symmetry to gossip iterations , L. Mazzarella, A. Sarlette and F. Ticozzi, IEEE Trans. Automatic Control 60, 158-172 (preprint)

Integral control on Lie groups , Z. Zhang, A. Sarlette and Z. Ling, Systems and Control Letters 80, 9-15 (preprint)

Extending robustness and randomization from consensus to symmetrization algorithms , L. Mazzarella, A. Sarlette and F. Ticozzi, SIAM J. Control and Optimization 53, 2076–2099 (preprint)

2014

Tracking photon jumps with repeated quantum non-demolition parity measurements , L. Sun, A. Petrenko, Z. Leghtas, B. Vlastakis, G. Kirchmair, K.M. Sliwa, A. Narla, M. Hatridge, S. Shankar, J. Blumoff, L. Frunzio, M. Mirrahimi, M.H. Devoret and R.J. Schoelkopf, Nature 511, 444-448 (preprint)

Observing interferences between past and future quantum states in resonance fluorescence , P. Campagne-Ibarcq, L. Bretheau, E. Flurin, A. Auffèves, F. Mallet and B. Huard, Phys. Rev. Lett. 112, 180402

Quantum Machines: Measurement and Control of Engineered Quantum Systems Lecture Notes of the Les Houches Summer School: Volume 96, July 2011 , M. Devoret, B. Huard, R. Schoelkopf, and L. F. Cugliandolo (Editors), Oxford University Press (2014)

Dissipation-induced continuous quantum error correction for superconducting circuits , J. Cohen and M. Mirrahimi, Phys. Rev. A 90, 062344 (preprint)

Dynamically protected cat-qubits: a new paradigm for universal quantum computation , M. Mirrahimi, Z. Leghtas, V. Albert, S. Touzard, R.J. Schoelkopf, L. Jiang, and M.H. Devoret, New Journal of Physics. 16, 045014 (preprint)

Non-Poissonian quantum jumps of a Fluxonium qubit due to quasiparticle excitations , U. Vool, I.M. Pop, K. Sliwa, B. Abdo, C. Wang, T. Brecht, Y.Y. Gao, S. Shankar, M. Hatridge, G. Catelani, M. Mirrahimi, L. Frunzio, R.J. Schoelkopf, L.I. Glazman and M.H. Devoret, Phys. Rev. Lett. 113, 247001 (preprint)

Stability of continuous-time quantum filters with measurement imperfections , H. Amini, C. Pellegrini, and P. Rouchon, Russian Journal of Mathematical Physics 21, 297-315 (preprint)

Quantum Gate Generation by T-Sampling Stabilization , H.B. Silveira, P.S. Pereira da Silva, and P. Rouchon, International Journal of Control 87, 1227-1242 (preprint)

Synchronization of Kuramoto oscillators with non-identical natural frequencies: a quantum dynamical decoupling approach , Z. Zhang, A. Sarlette and Z. Ling, IEEE Control and Decision Conference, 4585-4590

Symmetrization for quantum networks: a continuous-time approach , F. Ticozzi, L. Mazzarella and A. Sarlette, Conf. on Math. Theory of Networks and Systems, 1685-1690

2013

Autonomously stabilized entanglement between two superconducting quantum bits , S. Shankar, M. Hatridge, Z. Leghtas, K.M. Sliwa, A. Narla, U. Vool, S.M. Girvin, L. Frunzio, M. Mirrahimi, and M.H. Devoret, Nature 504, 419-422 (preprint)

Deterministically encoding quantum information using 100-photon Schrödinger cat states , B. Vlastakis, G. Kirchmair, Z. Leghtas, S.E. Nigg, L. Frunzio, S.M. Girvin, M. Mirrahimi, M.H. Devoret and R.J. Schoelkopf, Science 342, 607-610

Observation of quantum state collapse and revival due to the single-photon Kerr effect , G. Kirchmair, B. Vlastakis, Z. Leghtas, S.E. Nigg, H. Paik, E. Ginossar, M. Mirrahimi, L. Frunzio, S.M. Girvin, R.J. Schoelkopf, Nature 495, 205-209 (preprint)

Quantum back-action of an individual variable-strength measurement , M. Hatridge, S. Shankar, M. Mirrahimi, F. Schackert, K. Geerlings, T. Brecht, K.M. Sliwa, B. Abdo, L. Frunzio, S.M. Girvin, R.J. Schoelkopf, M.H. Devoret, Science 339, 178-181

Hardware-efficient autonomous quantum memory protection , Z. Leghtas, G. Kirchmair, B. Vlastakis, R. Schoelkopf, M. Devoret and M. Mirrahimi, Phys. Rev. Lett. 111, 120501 (preprint)

Persistent Control of a Superconducting Qubit by Stroboscopic Measurement Feedback , P. Campagne-Ibarcq, E. Flurin, N. Roch, D. Darson, P. Morfin, M. Mirrahimi, M.H. Devoret, F. Mallet, and B. Huard, Phys. Rev. X 3, 021008 (preprint)

Stabilizing a Bell state of two superconducting qubits by dissipation engineering , Z. Leghtas, U. Vool, S. Shankar, M. Hatridge, S.M. Girvin, M. Devoret, and M. Mirrahimi, Phys. Rev. A 88, 023849 (preprint)

Demonstrating a driven reset protocol of a superconducting qubit , K. Geerlings, Z. Leghtas, I.M. Pop, S. Shankar, L. Frunzio, R.J. Schoelkopf, M. Mirrahimi and M.H. Devoret, Phys. Rev. Lett. 110, 120501 (preprint)

Deterministic protocol for mapping a qubit to coherent state superspositions in a cavity , Z. Leghtas, G. Kirchmair, B. Vlastakis, M. Devoret, R. Schoelkopf and M. Mirrahimi, Phys. Rev. A 87, 042315 (preprint)

Feedback stabilization of discrete-time quantum systems subject to non-demolition measurements with imperfections and delays , H. Amini, A. Somaraju, I. Dotsenko, C. Sayrin, M. Mirrahimi and P. Rouchon, Automatica 49, 9, 2683-2692 (preprint)

Approximate stabilization of infinite dimensional quantum stochastic system , A. Somaraju, M. Mirrahimi and P. Rouchon, Reviews in Mathematical physics 25, 1350001 (preprint)

Low-rank numerical approximations for high-dimensional Lindblad equations , C. Le Bris and P. Rouchon, Phys. Rev. A 87, 022125 (preprint)

Contraction and stability analysis of steady-states for open quantum systems described by Lindblad differential equations , P. Rouchon and A. Sarlette, IEEE Control and Decision Conference, 6568-6573 (preprint)

A stochastic Lyapunov feedback technique for propagator generation of quantum systems on U(n) , H.B. Silveira, P.S.Pereira da Silva, and P. Rouchon, European Control Conference, 2712 - 2716

Quantum filtering using POVM measurements: Conditional Expectation , R.A. Somaraju, A. Sarlette and H. Thienpont, IEEE Control and Decision Conference, 1259-1264

A new perspective on gossip iterations: from symmetrization to quantum consensus , L. Mazzarella, A. Sarlette and F. Ticozzi, IEEE Control and Decision Conference, 250-255

Theses

Strongly driven Josephson circuits , L. Verney, PhD thesis, Ecole Normale Supérieure Paris (2019)

Adiabatic elimination for open quantum systems , R. Azouit, PhD thesis, Mines Paristech (2017)

Autonomous quantum error correction with superconducting qubits , J. Cohen, PhD thesis, Ecole Normale Supérieure Paris (2017)

State and parameter estimation for open quantum systems , P. Six, PhD thesis, Mines Paristech (2016)

Measurement back action and feedback in superconducting circuits , Ph. Campagne-Ibarcq, PhD thesis, Ecole Normale Supérieure Paris (2015)

Josephson mixer, swiss army knife for microwave quantum optics , E. Flurin, PhD thesis, Ecole Normale Supérieure Paris (2014)

Quantum information with superconducting circuits , B. Huard, Habilitation thesis, Ecole Normale Supérieure Paris (2014)

Stabilization of discrete-time quantum systems and stability of continuous-time quantum filters , H. Amini, PhD thesis, Mines Paristech et INRIA (2012)

Quantum state engineering ans stabilization , Z. Leghtas, PhD thesis, INRIA et Mines Paristech (2012)