21 research outputs found
Decoherence of Flux Qubits Coupled to Electronic Circuits
On the way to solid-state quantum computing, overcoming decoherence is the
central issue. In this contribution, we discuss the modeling of decoherence of
a superonducting flux qubit coupled to dissipative electronic circuitry. We
discuss its impact on single qubit decoherence rates and on the performance of
two-qubit gates. These results can be used for designing decoherence-optimal
setups.Comment: 16 pages, 5 figures, to appear in Advances in Solid State Physics,
Vol. 43 (2003
Decoherence of a two-qubit system with a variable bath coupling operator
We examine the decoherence of an asymmetric two-qubit system that is coupled
via a tunable interaction term to a common bath or two individual baths of
harmonic oscillators. The dissipative dynamics are evaluated using the
Bloch-Redfield formalism. It is shown that the behaviour of the decoherence
effects is affected mostly by different symmetries between the qubit operator
which is coupled to the environment and temperature, whereas the differences
between the two bath configurations are very small. Moreover, it is elaborated
that small imperfections of the qubit parameters do not lead to a drastic
enhancement of the decoherence rates.Comment: 10 pages, 5 figure
Precision characterisation of two-qubit Hamiltonians via entanglement mapping
We show that the general Heisenberg Hamiltonian with non-uniform couplings
can be characterised by mapping the entanglement it generates as a function of
time. Identification of the Hamiltonian in this way is possible as the
coefficients of each operator control the oscillation frequencies of the
entanglement function. The number of measurements required to achieve a given
precision in the Hamiltonian parameters is determined and an efficient
measurement strategy designed. We derive the relationship between the number of
measurements, the resulting precision and the ultimate discrete error
probability generated by a systematic mis-characterisation, when implementing
two-qubit gates for quantum computing.Comment: 6 Pages, 3 figure
Efficient creation of multipartite entanglement in flux qubits
We investigate three superconducting flux qubits coupled in a loop. In this
setup, tripartite entanglement can be created in a natural, controllable, and
stable way. Both generic kinds of tripartite entanglement -the W type as well
as the GHZ type entanglement- can be identified among the eigenstates. We also
discuss the violation of Bell inequalities in this system and show the impact
of a limited measurement fidelity on the detection of entanglement and quantum
nonlocality.Comment: 15 pages, 7 figures; extended sections on coupling strength, system
preparation, and entanglement detectio
Robust stationary entanglement of two coupled qubits in independent environments
The dissipative dynamics of two interacting qubits coupled to independent
reservoirs at nonzero temperatures is investigated, paying special attention to
the entanglement evolution. The counter-rotating terms in the qubit-qubit
interaction give rise to stationary entanglement, traceable back to the ground
state structure. The robustness of this entanglement against thermal noise is
thoroughly analyzed, establishing that it can be detected at reasonable
experimental temperatures. Some effects linked to a possible reservoir
asymmetry are brought to light.Comment: 8 pages, 6 figures; version accepted for publication on Eur. Phys. J.
Two-dimensional cavity grid for scalable quantum computation with superconducting circuits
Superconducting circuits are among the leading contenders for quantum
information processing. This promising avenue has been strengthened with the
advent of circuit quantum electrodynamics, underlined by recent experiments
coupling on-chip microwave resonators to superconducting qubits. However,
moving towards more qubits will require suitable novel architectures. Here, we
propose a scalable setup for quantum computing where such resonators are
arranged in a two-dimensional grid with a qubit at each intersection. Its
versatility allows any two qubits on the grid to be coupled at a swapping
overhead independent of their distance and yields an optimal balance between
reducing qubit transition frequency spread and spurious cavity-induced
couplings. These features make this setup unique and distinct from existing
proposals in ion traps, optical lattices, or semiconductor spins. We
demonstrate that this approach encompasses the fundamental elements of a
scalable fault-tolerant quantum computing architecture.Comment: version as published in EPL 95 No 5 (March 2009) 50007, 5 page
Photodetection of propagating quantum microwaves in circuit QED
We develop the theory of a metamaterial composed of an array of discrete
quantum absorbers inside a one-dimensional waveguide that implements a
high-efficiency microwave photon detector. A basic design consists of a few
metastable superconducting nanocircuits spread inside and coupled to a
one-dimensional waveguide in a circuit QED setup. The arrival of a {\it
propagating} quantum microwave field induces an irreversible change in the
population of the internal levels of the absorbers, due to a selective
absorption of photon excitations. This design is studied using a formal but
simple quantum field theory, which allows us to evaluate the single-photon
absorption efficiency for one and many absorber setups. As an example, we
consider a particular design that combines a coplanar coaxial waveguide with
superconducting phase qubits, a natural but not exclusive playground for
experimental implementations. This work and a possible experimental realization
may stimulate the possible arrival of "all-optical" quantum information
processing with propagating quantum microwaves, where a microwave photodetector
could play a key role.Comment: 27 pages, submitted to Physica Scripta for Nobel Symposium on "Qubits
for Quantum Information", 200