Noise reduction in qubit readout with a two-mode squeezed interferometer

  1. G. Liu,
  2. X. Cao,
  3. T.-C. Chien,
  4. C. Zhou,
  5. P. Lu,
  6. and M. Hatridge
Fault-tolerant quantum information processing with flawed qubits and gates requires highly efficient, quantum non-demolition (QND) qubit readout. In superconducting circuits, qubit
readout using coherent light with fidelity above 99% has been achieved by using quantum-limited parametric amplifiers such as the Josephson Parametric Converter (JPC). However, further improvement of such measurement is fundamentally limited by the vacuum fluctuations of the coherent light used for readout. In this work we measure a transmon qubit/cavity system with an unbalanced two-mode squeezed light interferometer formed from two JPCs. The first amplifier generates two-mode squeezed vacuum at its output, which is coherently recombined by the second amplifier after one branch is shifted and displaced by the transmon’s state after it interacts with the qubit/cavity system on one arm of the interferometer. We have observed a 44% improvement in power Signal-to-Noise Ratio (SNR) of projective readout compared to that of coherent light readout in the same system. To investigate the quantum properties of the two-mode squeezed light in the system, we also studied weak measurement and found, surprisingly, that tuning the interferometer to be as unprojective as possible was associated with an increase in the quantum efficiency of our readout relative to the optimum setting for projective measurement. These enhancements may enable remote entanglement with lower efficiency components in a system with qubits in both arms of the interferometer.

Quantum back-action of variable-strength measurement

  1. M. Hatridge,
  2. S. Shankar,
  3. M. Mirrahimi,
  4. F. Schackert,
  5. K. Geerlings,
  6. T. Brecht,
  7. K. M. Sliwa,
  8. B. Abdo,
  9. L. Frunzio,
  10. S. M. Girvin,
  11. R. J. Schoelkopf,
  12. and M. H. Devoret
Measuring a quantum system can randomly perturb its state. The strength and nature of this back-action depends on the quantity which is measured. In a partial measurement performed
by an ideal apparatus, quantum physics predicts that the system remains in a pure state whose evolution can be tracked perfectly from the measurement record. We demonstrate this property using a superconducting qubit dispersively coupled to a cavity traversed by a microwave signal. The back-action on the qubit state of a single measurement of both signal quadratures is observed and shown to produce a stochastic operation whose action is determined by the measurement result. This accurate monitoring of a qubit state is an essential prerequisite for measurement-based feedback control of quantum systems.

Generation of discord through a remote joint continuous variable measurement

  1. E. Zalys-Geller,
  2. A. Narla,
  3. S. Shankar,
  4. M. Hatridge,
  5. M. P. Silveri,
  6. K. Sliwa,
  7. Z. Leghtas,
  8. and M. H. Devoret
In quantum mechanics, continuously measuring an observable steers the system into one eigenstate of that observable. This property has interesting and useful consequences when the observable
is a joint property of two remotely separated qubits. In particular, if the measurement of the two-qubit joint observable is performed in a way that is blind to single-qubit information, quantum back-action generates correlation of the discord type even if the measurement is weak and inefficient. We demonstrate the ability to generate these quantum correlations in a circuit-QED setup by performing a weak joint readout of two remote, non-interacting, superconducting transmon qubits using the two non-degenerate modes of a Josephson Parametric Converter (JPC). Single-qubit information is erased from the output in the limit of large gain and with properly tailored cavity drive pulses. Our results of the measurement of discord are in quantitative agreement with theoretical predictions, and demonstrate the utility of the JPC as a which-qubit information eraser.

Robust concurrent remote entanglement between two superconducting qubits

  1. A. Narla,
  2. S. Shankar,
  3. M. Hatridge,
  4. Z. Leghtas,
  5. K. M. Sliwa,
  6. E. Zalys-Geller,
  7. S. O. Mundhada,
  8. W. Pfaff,
  9. L. Frunzio,
  10. R. J. Schoelkopf,
  11. and M. H. Devoret
Entangling two remote quantum systems which never interact directly is an essential primitive in quantum information science. In quantum optics, remote entanglement experiments provides
one approach for loophole-free tests of quantum non-locality and form the basis for the modular architecture of quantum computing. In these experiments, the two qubits, Alice and Bob, are each first entangled with a traveling photon. Subsequently, the two photons paths interfere on a beam-splitter before being directed to single-photon detectors. Such concurrent remote entanglement protocols using discrete Fock states can be made robust to photon losses, unlike schemes that rely on continuous variable states. This robustness arises from heralding the entanglement on the detection of events which can be selected for their unambiguity. However, efficiently detecting single photons is challenging in the domain of superconducting quantum circuits because of the low energy of microwave quanta. Here, we report the realization of a novel microwave photon detector implemented in the circuit quantum electrodynamics (cQED) framework of superconducting quantum information, and the demonstration, with this detector, of a robust form of concurrent remote entanglement. Our experiment opens the way for the implementation of the modular architecture of quantum computation with superconducting qubits.

2.5D circuit quantum electrodynamics

  1. Z.K. Minev,
  2. K. Serniak,
  3. I.M. Pop,
  4. Z. Leghtas,
  5. K. Sliwa,
  6. M. Hatridge,
  7. L. Frunzio,
  8. R. J. Schoelkopf,
  9. and M. H. Devoret
Experimental quantum information processing with superconducting circuits is rapidly advancing, driven by innovation in two classes of devices, one involving planar micro-fabricated
(2D) resonators, and the other involving machined three-dimensional (3D) cavities. We demonstrate that circuit quantum electrodynamics (cQED), which is based on the interaction of low-loss resonators and qubits, can be implemented in a multilayer superconducting structure, which combines 2D and 3D advantages, hence its nickname „2.5.“ We employ standard micro-fabrication techniques to pattern each layer, and rely on a vacuum gap between the layers to store the electromagnetic energy. Planar superconducting qubits are lithographically defined as an aperture in a conducting boundary of multilayer resonators, rather than as a separate metallic structure on an insulating substrate. In order to demonstrate the potential of these design principles, we implemented an integrated, two-cavity-modes, one-transmon-qubit system for cQED experiments. The measured coherence times and coupling energies suggest that the 2.5D platform would be a promising base for integrated quantum information processing.

Wireless Josephson Amplifier

  1. A. Narla,
  2. K. M. Sliwa,
  3. M. Hatridge,
  4. S. Shankar,
  5. L. Frunzio,
  6. R. J. Schoelkopf,
  7. and M.H. Devoret
Josephson junction parametric amplifiers are playing a crucial role in the readout chain in superconducting quantum information experiments. However, their integration with current
3D cavity implementations poses the problem of transitioning between waveguide, coax cables and planar circuits. Moreover, Josephson amplifiers require auxiliary microwave components, like directional couplers and/or hybrids, that are sources of spurious losses and impedance mismatches that limit measurement efficiency and amplifier tunability. We have developed a new wireless architecture for these parametric amplifiers that eliminates superfluous microwave components and interconnects. This greatly simplifies their assembly and integration into experiments. We present an experimental realization of such a device operating in the 9−11 GHz band with about 100 MHz of amplitude gain-bandwidth product, on par with devices mounted in conventional sample holders. The simpler impedance environment presented to the amplifier also results in increased amplifier tunability.

Tracking Photon Jumps with Repeated Quantum Non-Demolition Parity Measurements

  1. L. Sun,
  2. A. Petrenko,
  3. Z. Leghtas,
  4. B. Vlastakis,
  5. G. Kirchmair,
  6. K. M. Sliwa,
  7. A. Narla,
  8. M. Hatridge,
  9. S. Shankar,
  10. J. Blumoff,
  11. L. Frunzio,
  12. M. Mirrahimi,
  13. M. H. Devoret,
  14. and R. J. Schoelkopf
Quantum error correction (QEC) is required for a practical quantum computer because of the fragile nature of quantum information. In QEC, information is redundantly stored in a large
Hilbert space and one or more observables must be monitored to reveal the occurrence of an error, without disturbing the information encoded in an unknown quantum state. Such observables, typically multi-qubit parities such as , must correspond to a special symmetry property inherent to the encoding scheme. Measurements of these observables, or error syndromes, must also be performed in a quantum non-demolition (QND) way and faster than the rate at which errors occur. Previously, QND measurements of quantum jumps between energy eigenstates have been performed in systems such as trapped ions, electrons, cavity quantum electrodynamics (QED), nitrogen-vacancy (NV) centers, and superconducting qubits. So far, however, no fast and repeated monitoring of an error syndrome has been realized. Here, we track the quantum jumps of a possible error syndrome, the photon number parity of a microwave cavity, by mapping this property onto an ancilla qubit. This quantity is just the error syndrome required in a recently proposed scheme for a hardware-efficient protected quantum memory using Schr\“{o}dinger cat states in a harmonic oscillator. We demonstrate the projective nature of this measurement onto a parity eigenspace by observing the collapse of a coherent state onto even or odd cat states. The measurement is fast compared to the cavity lifetime, has a high single-shot fidelity, and has a 99.8% probability per single measurement of leaving the parity unchanged. In combination with the deterministic encoding of quantum information in cat states realized earlier, our demonstrated QND parity tracking represents a significant step towards implementing an active system that extends the lifetime of a quantum bit.

Stabilizing entanglement autonomously between two superconducting qubits

  1. S. Shankar,
  2. M. Hatridge,
  3. Z. Leghtas,
  4. K. M. Sliwa,
  5. A. Narla,
  6. U. Vool,
  7. S. M. Girvin,
  8. L. Frunzio,
  9. M. Mirrahimi,
  10. and M. H. Devoret
Quantum error-correction codes would protect an arbitrary state of a multi-qubit register against decoherence-induced errors, but their implementation is an outstanding challenge for
the development of large-scale quantum computers. A first step is to stabilize a non-equilibrium state of a simple quantum system such as a qubit or a cavity mode in the presence of decoherence. Several groups have recently accomplished this goal using measurement-based feedback schemes. A next step is to prepare and stabilize a state of a composite system. Here we demonstrate the stabilization of an entangled Bell state of a quantum register of two superconducting qubits for an arbitrary time. Our result is achieved by an autonomous feedback scheme which combines continuous drives along with a specifically engineered coupling between the two-qubit register and a dissipative reservoir. Similar autonomous feedback techniques have recently been used for qubit reset and the stabilization of a single qubit state, as well as for creating and stabilizing states of multipartite quantum systems. Unlike conventional, measurement-based schemes, an autonomous approach counter-intuitively uses engineered dissipation to fight decoherence, obviating the need for a complicated external feedback loop to correct errors, simplifying implementation. Instead the feedback loop is built into the Hamiltonian such that the steady state of the system in the presence of drives and dissipation is a Bell state, an essential building-block state for quantum information processing. Such autonomous schemes, broadly applicable to a variety of physical systems as demonstrated by a concurrent publication with trapped ion qubits, will be an essential tool for the implementation of quantum-error correction.

Stabilizing a Bell state of two superconducting qubits by dissipation engineering

  1. Z. Leghtas,
  2. U. Vool,
  3. S. Shankar,
  4. M. Hatridge,
  5. S.M. Girvin,
  6. M.H. Devoret,
  7. and M. Mirrahimi
We propose a dissipation engineering scheme that prepares and protects a maximally entangled state of a pair of superconducting qubits. This is done by off-resonantly coupling the two
qubits to a low-Q cavity mode playing the role of a dissipative reservoir. We engineer this coupling by applying six continuous-wave microwave drives with appropriate frequencies. The two qubits need not be identical. We show that our approach does not require any fine-tuning of the parameters and requires only that certain ratios between them be large. With currently achievable coherence times, simulations indicate that a Bell state can be maintained over arbitrary long times with fidelities above 94%. Such performance leads to a significant violation of Bell’s inequality (CHSH correlation larger than 2.6) for arbitrary long times.