Decoherence in Josephson-junction qubits due to critical current fluctuations

Abstract

We compute the decoherence caused by $1/f$ fluctuations at low frequency $f$ in the critical current $I_0$ of Josephson junctions incorporated into flux, phase, charge and hybrid flux-charge superconducting quantum bits (qubits). The dephasing time ${\tau }_{\varphi }$ scales as $I_0/\Omega \Lambda S_{I_0}^{1/2}(1$ Hz$)$, where $\Omega /2\pi$ is the energy level splitting frequency, $S_{I_0}(1$ Hz$)$ is the spectral density of the critical current noise at 1 Hz, and $\Lambda \equiv |I_{0}d\Omega /\Omega d{I}_0|$ is a parameter computed for given parameters for each type of qubit that specifies the sensitivity of the level splitting to critical current fluctuations. Computer simulations show that the envelope of the coherent oscillations of any qubit after time $t$ scales as $\exp (-t^2/2{\tau }_{\varphi }^2)$ when the dephasing due to critical current noise dominates the dephasing from all sources of dissipation. We compile published results for fluctuations in the critical current of Josephson tunnel junctions fabricated with different technologies and a wide range in $I_0$ and $A$, and show that their values of $S_{I_0}(1$ Hz$)$ scale to within a factor of three of $[144(I_0/\mu \mathrm{A}{)}^2/(A/\mu {\mathrm{m}}^2)]($pA${)}^2/$Hz at 4.2 K. We empirically extrapolate $S_{I_0}^{1/2}(1$ Hz$)$ to lower temperatures using a scaling $T($K$)/4.2$. Using this result, we find that the predicted values of ${\tau }_{\varphi }$ at 100 mK range from 0.8 to 12 $\mu$s, and are usually substantially longer than values measured experimentally at lower temperatures.

12 pages, 13 figures

References in corpus (9)

• Coherent control of macroscopic quantum states in a single-Cooper-pair box
• Manipulating the Quantum State of an Electrical Circuit
• Coherent Quantum Dynamics of a Superconducting Flux Qubit
• A Superconducting Persistent Current Qubit
• Quantum oscillations in two coupled charge qubits
• Decoherence and 1/f noise in Josephson qubits
• Charge echo in a Cooper-pair box
• Tunnel splittings for one dimensional potential wells revisited
• Macroscopic resonant tunneling of magnetic flux

Cited by in corpus (102)

• Charge insensitive qubit design derived from the Cooper pair box
• Observation of high coherence in Josephson junction qubits measured in a three-dimensional circuit QED architecture
• Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
• Decoherence in a superconducting quantum bit circuit
• 1/f noise: implications for solid-state quantum information
• Towards understanding two-level-systems in amorphous solids -- Insights from quantum circuits
• Procedure for systematically tuning up crosstalk in the cross resonance gate
• Nano Superconducting Quantum Interference device: a powerful tool for nanoscale investigations
• Noiseless nonreciprocity in a parametric active device
• Experimental Demonstration of a Robust and Scalable Flux Qubit
• Tunable Superconducting Qubits with Flux-Independent Coherence
• Low- and high-frequency noise from coherent two-level systems
• Magnetism in SQUIDs at Millikelvin Temperatures
• Decoherence in qubits due to low-frequency noise
• Photon Shot Noise Dephasing in the Strong-Dispersive Limit of Circuit QED
• Dispersive measurements of superconducting qubit coherence with a fast, latching readout
• Optimal control of a qubit coupled to a non-Markovian environment
• Evidence for coherent quantum phase-slips across a Josephson junction array
• Decoherence from ensembles of two-level fluctuators
• Protected quantum computation with multiple resonators in ultrastrong coupling circuit QED
• Environmental noise spectroscopy with qubits subjected to dynamical decoupling
• Life after charge noise: recent results with transmon qubits
• Spectroscopy of low-frequency noise and its temperature dependence in a superconducting qubit
• Microwave attenuators for use with quantum devices below 100 mK
• Superconducting circuit protected by two-Cooper-pair tunneling
• Coherence properties of the 0-$\pi$ qubit
• Oxygen stoichiometry and instability in aluminium oxide tunnel barrier layers
• Non-Markovian qubit dynamics in the presence of 1/f noise
• Measuring the Decoherence of a Quantronium Qubit with the Cavity Bifurcation Amplifier
• Disentanglement and decoherence from classical non-Markovian noise: Random telegraph noise
• Nonadiabatic holonomic quantum computation with all-resonant control
• Single crystal silicon capacitors with low microwave loss in the single photon regime
• Decoherence of a Josephson qubit due to coupling to two level systems
• Decoherence of a qubit by non-Gaussian noise at an arbitrary working point
• Superconductor-to-Metal Transitions in Dissipative Chains of Mesoscopic Grains and Nanowires
• One- and two-photon spectroscopy of a flux qubit coupled to a microscopic defect
• Low-frequency Noise in Josephson Junctions for Superconducting Qubits
• Anomalous avoided level crossings in a Cooper-pair box spectrum
• Microscopic Model of Critical Current Noise in Josephson Junctions
• Exact solution for the dynamical decoupling of a qubit with telegraph noise
• Circuit Quantum Electrodynamics Simulator of Flat Band Physics in Lieb lattice
• Microscopic origin of critical current fluctuations in large, small and ultra-small area Josephson junctions
• Correlating the nanostructure of Al-oxide with deposition conditions and dielectric contributions of two-level systems in perspective of superconducting quantum circuits
• Relaxation of Josephson qubits due to strong coupling to two-level systems
• Multi-level Spectroscopy of Two-Level Systems Coupled to a dc SQUID Phase Qubit
• A metastable superconducting qubit
• Flux-charge duality and topological quantum phase fluctuations in quasi-one-dimensional superconductors
• Low frequency resistance and critical current fluctuations in Al-based Josephson junctions
• Decoherence times of universal two-qubit gates in the presence of broad-band noise
• Microscopic model of critical current noise in Josephson-junction qubits: Subgap resonances and Andreev bound states
• A Josephson Junction Microscope for Low-frequency Fluctuators
• Decoherence in rf SQUID Qubits
• Superconducting qubit manipulated by fast pulses: experimental observation of distinct decoherence regimes
• Positive- and negative-frequency noise from an ensemble of two-level fluctuators
• Spectrum and Coherence Properties of the Current-Mirror Qubit
• Flux qubit as a sensor for a magnetometer with quantum limited sensitivity
• Structural and Nanochemical Properties of AlOx Layers in $Al/Al{O}_x/Al$-Layer Systems for Josephson Junctions
• High transparency Bi2Se3 topological insulator nanoribbon Josephson junctions with low resistive noise properties
• Macroscopic tunnel splittings in superconducting phase qubits
• Decoherence in dc SQUID phase qubits
• Integrating superfluids with superconducting qubit systems
• Nonlinearly driven Landau-Zener transition with telegraph noise
• Measurements of 1/ f noise in Josephson junctions at zero voltage: Implications for decoherence in superconducting quantum bits
• Stabilizing and improving qubit coherence by engineering noise spectrum of two-level systems
• Quantum circuits with multiterminal Josephson-Andreev junctions
• Full protection of superconducting qubit systems from coupling errors
• Reduction of low-frequency 1/f noise in Al-AlOx-Al tunnel junctions by thermal annealing
• Looping on the Bloch sphere: Oscillatory effects in dephasing of qubits subject to broad-spectrum noise
• 1/f noise of Josephson-junction-embedded microwave resonators at single photon energies and millikelvin temperatures
• Bifurcation, mode coupling and noise in a nonlinear multimode superconducting RF resonator
• Temperature Dependence of Critical Current Fluctuations in Nb/AlO${}_{\mathrm{x}}$/Nb Josephson Junctions
• Charge and flux insensitive tunable superconducting qubit
• Characterizing a Four-Qubit Planar Lattice for Arbitrary Error Detection
• Noise properties of nanoscale YBCO Josephson junctions
• Correcting low-frequency noise with continuous measurement
• Tunable Flux Qubit manipulated by fast pulses: operating requirements, dissipation and decoherence
• Noise and microresonance of critical current in Josephson junction induced by Kondo trap states
• Strained single-crystal Al2O3 grown layer-by-layer on Nb (110) thin films
• The influence of pinholes and weak-points in aluminium-oxide Josephson junctions
• Reverse engineering of one-qubit filter functions with dynamical invariants
• Loss of quantum coherence due to non-stationary glass fluctuations
• Quantum probe of an on-chip broadband interferometer for quantum microwave photonics
• Realistic quantum manipulation of two-level system fluctuators
• Spin Environment of a Superconducting Qubit in High Magnetic Fields
• Tunable coupling between a superconducting resonator and an artificial atom
• Structural evolution of Re (0001) thin films grown on Nb (110) surfaces by molecular beam epitaxy
• Protecting Superconducting Qubits with Universal Quantum Degeneracy Point
• Universal Quantum Degeneracy Point for Superconducting Qubits
• Time-dependent universal conductance fluctuations in mesoscopic Au wires: implications
• Minimal Time Robust Control for Two Superconducting Qubits
• Coherent oscillations between classically separable quantum states of a superconducting loop
• Influence of low-frequency noise on macroscopic quantum tunneling in superconducting circuits
• Majorana path integral for nonequilibrium dynamics of two-level systems
• Effect of Ohmic environment on optimally controlled flux-biased phase qubit
• Comparison of coherence times in three dc SQUID phase qubits
• Qubit dephasing by spectrally diffusing quantum two-level systems
• A Controllable Interaction between Two-Level Systems inside a Josephson Junction
• Decoherence of a tunable capacitively shunted flux qubit
• Persistent current noise in narrow Josephson junctions
• Flux-Trapping Fluxonium Qubit
• Current Fluctuations in Rough Superconducting Tunnel Junctions
• Cryogenic small-signal conversion with relaxation oscillations in Josephson junctions