264 research outputs found
Dispersive Charge and Flux Qubit Readout as a Quantum Measurement Process
We analyze the dispersive readout of superconducting charge and flux qubits
as a quantum measurement process. The measurement oscillator frequency is
considered much lower than the qubit frequency. This regime is interesting
because large detuning allows for strong coupling between the measurement
oscillator and the signal transmission line, thus allowing for fast readout.
Due to the large detuning we may not use the rotating wave approximation in the
oscillator-qubit coupling. Instead we start from an approximation where the
qubit follows the oscillator adiabatically, and show that non-adiabatic
corrections are small. We find analytic expressions for the measurement time,
as well as for the back-action, both while measuring and in the off-state. The
quantum efficiency is found to be unity within our approximation, both for
charge and flux qubit readout.Comment: 26 pages, 3 figures, To be published in Journal of Low Temperature
Physic
Undoing measurement-induced dephasing in circuit QED
We analyze the backaction of homodyne detection and photodetection on
superconducting qubits in circuit quantum electrodynamics. Although both
measurement schemes give rise to backaction in the form of stochastic phase
rotations, which leads to dephasing, we show that this can be perfectly undone
provided that the measurement signal is fully accounted for. This result
improves upon that of Phys. Rev. A, 82, 012329 (2010), showing that the method
suggested can be made to realize a perfect two-qubit parity measurement. We
propose a benchmarking experiment on a single qubit to demonstrate the method
using homodyne detection. By analyzing the limited measurement efficiency of
the detector and bandwidth of the amplifier, we show that the parameter values
necessary to see the effect are within the limits of existing technology
Stochastic Master Equation Analysis of Optimized Three-Qubit Nondemolition Parity Measurement
We analyze a direct parity measurement of the state of three superconducting
qubits in circuit quantum electrodynamics. The parity is inferred from a
homodyne measurement of the reflected/transmitted microwave radiation and the
measurement is direct in the sense that the parity is measured without the need
for any quantum circuit operations or for ancilla qubits. Qubits are coupled to
two resonant cavity modes, allowing the steady state of the emitted radiation
to satisfy the necessary conditions to act as a pointer state for the parity.
However, the transient dynamics violates these conditions and we analyze this
detrimental effect and show that it can be overcome in the limit of weak
measurement signal. Our analysis shows that, with a moderate degree of
post-selection, it is possible to achieve post-measurement states with fidelity
of order 95%. We believe that this type of measurement could serve as a
benchmark for future error-correction protocols in a scalable architecture
Steady state entanglement of two superconducting qubits engineered by dissipation
We present a scheme for the dissipative preparation of an entangled steady
state of two superconducting qubits in a circuit QED setup. Combining resonator
photon loss, a dissipative process already present in the setup, with an
effective two-photon microwave drive, we engineer an effective decay mechanism
which prepares a maximally entangled state of the two qubits. This state is
then maintained as the steady state of the driven, dissipative evolution. The
performance of the dissipative state preparation protocol is studied
analytically and verified numerically. In view of the experimental
implementation of the presented scheme we investigate the effects of potential
experimental imperfections and show that our scheme is robust to small
deviations in the parameters. We find that high fidelities with the target
state can be achieved both with state-of-the-art 3D, as well as with the more
commonly used 2D transmons. The promising results of our study thus open a
route for the demonstration of an entangled steady state in circuit QED.Comment: 12 pages, 5 figures; close to published versio
Readout methods and devices for Josephson-junction-based solid-state qubits
We discuss the current situation concerning measurement and readout of
Josephson-junction based qubits. In particular we focus attention of dispersive
low-dissipation techniques involving reflection of radiation from an oscillator
circuit coupled to a qubit, allowing single-shot determination of the state of
the qubit. In particular we develop a formalism describing a charge qubit read
out by measuring its effective (quantum) capacitance. To exemplify, we also
give explicit formulas for the readout time.Comment: 20 pages, 7 figures. To be published in J. Phys.: Condensed Matter,
18 (2006) Special issue: Quantum computin
Partial-measurement back-action and non-classical weak values in a superconducting circuit
We realize indirect partial measurement of a transmon qubit in circuit
quantum electrodynamics by interaction with an ancilla qubit and projective
ancilla measurement with a dedicated readout resonator. Accurate control of the
interaction and ancilla measurement basis allows tailoring the measurement
strength and operator. The tradeoff between measurement strength and qubit
back-action is characterized through the distortion of a qubit Rabi oscillation
imposed by ancilla measurement in different bases. Combining partial and
projective qubit measurements, we provide the solid-state demonstration of the
correspondence between a non-classical weak value and the violation of a
Leggett-Garg inequality.Comment: 5 pages, 4 figures, and Supplementary Information (8 figures
Implementation of the three-qubit phase-flip error correction code with superconducting qubits
We investigate the performance of a three qubit error correcting code in the
framework of superconducting qubit implementations. Such a code can recover a
quantum state perfectly in the case of dephasing errors but only in situations
where the dephasing rate is low. Numerical studies in previous work have
however shown that the code does increase the fidelity of the encoded state
even in the presence of high error probability, during both storage and
processing. In this work we give analytical expressions for the fidelity of
such a code. We consider two specific schemes for qubit-qubit interaction
realizable in superconducting systems; one -coupling and one
cavity mediated coupling. With these realizations in mind, and considering
errors during storing as well as processing, we calculate the maximum operation
time allowed in order to still benefit from the code. We show that this limit
can be reached with current technology.Comment: 10 pages, 8 figure
Reversing quantum trajectories with analog feedback
We demonstrate the active suppression of transmon qubit dephasing induced by
dispersive measurement, using parametric amplification and analog feedback. By
real-time processing of the homodyne record, the feedback controller reverts
the stochastic quantum phase kick imparted by the measurement on the qubit. The
feedback operation matches a model of quantum trajectories with measurement
efficiency , consistent with the result obtained by
postselection. We overcome the bandwidth limitations of the amplification chain
by numerically optimizing the signal processing in the feedback loop and
provide a theoretical model explaining the optimization result.Comment: 5 pages, 4 figures, and Supplementary Information (7 figures
Quantum nondemolition detection of a propagating microwave photon
The ability to nondestructively detect the presence of a single, traveling
photon has been a long-standing goal in optics, with applications in quantum
information and measurement. Realising such a detector is complicated by the
fact that photon-photon interactions are typically very weak. At microwave
frequencies, very strong effective photon-photon interactions in a waveguide
have recently been demonstrated. Here we show how this type of interaction can
be used to realize a quantum nondemolition measurement of a single propagating
microwave photon. The scheme we propose uses a chain of solid-state 3-level
systems (transmons), cascaded through circulators which suppress photon
backscattering. Our theoretical analysis shows that microwave-photon detection
with fidelity around 90% can be realized with existing technologies
Randomized benchmarking and process tomography for gate errors in a solid-state qubit
We present measurements of single-qubit gate errors for a superconducting
qubit. Results from quantum process tomography and randomized benchmarking are
compared with gate errors obtained from a double pi pulse experiment.
Randomized benchmarking reveals a minimum average gate error of 1.1+/-0.3% and
a simple exponential dependence of fidelity on the number of gates. It shows
that the limits on gate fidelity are primarily imposed by qubit decoherence, in
agreement with theory.Comment: 4 pages, 4 figures, plus supplementary materia
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