56 research outputs found
An RF-Driven Josephson Bifurcation Amplifier for Quantum Measurements
We have constructed a new type of amplifier whose primary purpose is the
readout of superconducting quantum bits. It is based on the transition of an
RF-driven Josephson junction between two distinct oscillation states near a
dynamical bifurcation point. The main advantages of this new amplifier are
speed, high-sensitivity, low back-action, and the absence of on-chip
dissipation. Pulsed microwave reflection measurements on nanofabricated Al
junctions show that actual devices attain the performance predicted by theory.Comment: 5 Figure
Protocol for universal gates in optimally biased superconducting qubits
We present a new experimental protocol for performing universal gates in a
register of superconducting qubits coupled by fixed on-chip linear reactances.
The qubits have fixed, detuned Larmor frequencies and can remain, during the
entire gate operation, biased at their optimal working point where decoherence
due to fluctuations in control parameters is suppressed to first order.
Two-qubit gates are performed by simultaneously irradiating two qubits at their
respective Larmor frequencies with appropriate amplitude and phase, while
one-qubit gates are performed by the usual single-qubit irradiation pulses
Measuring the Decoherence of a Quantronium Qubit with the Cavity Bifurcation Amplifier
Dispersive readouts for superconducting qubits have the advantage of speed
and minimal invasiveness. We have developed such an amplifier, the Cavity
Bifurcation Amplifier (CBA) [10], and applied it to the readout of the
quantronium qubit [2]. It consists of a Josephson junction embedded in a
microwave on-chip resonator. In contrast with the Josephson bifurcation
amplifier [17], which has an on-chip capacitor shunting a junction, the
resonator is based on a simple coplanar waveguide imposing a pre-determined
frequency and whose other RF characteristics like the quality factor are easily
controlled and optimized. Under proper microwave irradiation conditions, the
CBA has two metastable states. Which state is adopted by the CBA depends on the
state of a quantronium qubit coupled to the CBA's junction. Due to the MHz
repetition rate and large signal to noise ratio we can show directly that the
coherence is limited by 1/f gate charge noise when biased at the sweet spot - a
point insensitive to first order gate charge fluctuations. This architecture
lends itself to scalable quantum computing using a multi-resonator chip with
multiplexed readouts.Comment: 6 pages, 5 figures To be published in Physical Review
Geometrical approach to SU(2) navigation with Fibonacci anyons
Topological quantum computation with Fibonacci anyons relies on the
possibility of efficiently generating unitary transformations upon
pseudoparticles braiding. The crucial fact that such set of braids has a dense
image in the unitary operations space is well known; in addition, the
Solovay-Kitaev algorithm allows to approach a given unitary operation to any
desired accuracy. In this paper, the latter task is fulfilled with an
alternative method, in the SU(2) case, based on a generalization of the
geodesic dome construction to higher dimension.Comment: 12 pages, 5 figure
Exponential quantum enhancement for distributed addition with local nonlinearity
We consider classical and entanglement-assisted versions of a distributed
computation scheme that computes nonlinear Boolean functions of a set of input
bits supplied by separated parties. Communication between the parties is
restricted to take place through a specific apparatus which enforces the
constraints that all nonlinear, nonlocal classical logic is performed by a
single receiver, and that all communication occurs through a limited number of
one-bit channels. In the entanglement-assisted version, the number of channels
required to compute a Boolean function of fixed nonlinearity can become
exponentially smaller than in the classical version. We demonstrate this
exponential enhancement for the problem of distributed integer addition.Comment: To appear in Quantum Information Processin
A Survey of Finite Algebraic Geometrical Structures Underlying Mutually Unbiased Quantum Measurements
The basic methods of constructing the sets of mutually unbiased bases in the
Hilbert space of an arbitrary finite dimension are discussed and an emerging
link between them is outlined. It is shown that these methods employ a wide
range of important mathematical concepts like, e.g., Fourier transforms, Galois
fields and rings, finite and related projective geometries, and entanglement,
to mention a few. Some applications of the theory to quantum information tasks
are also mentioned.Comment: 20 pages, 1 figure to appear in Foundations of Physics, Nov. 2006 two
more references adde
Demonstration of Universal Parametric Entangling Gates on a Multi-Qubit Lattice
We show that parametric coupling techniques can be used to generate selective
entangling interactions for multi-qubit processors. By inducing coherent
population exchange between adjacent qubits under frequency modulation, we
implement a universal gateset for a linear array of four superconducting
qubits. An average process fidelity of is estimated for
three two-qubit gates via quantum process tomography. We establish the
suitability of these techniques for computation by preparing a four-qubit
maximally entangled state and comparing the estimated state fidelity against
the expected performance of the individual entangling gates. In addition, we
prepare an eight-qubit register in all possible bitstring permutations and
monitor the fidelity of a two-qubit gate across one pair of these qubits.
Across all such permutations, an average fidelity of
is observed. These results thus offer a path to a scalable architecture with
high selectivity and low crosstalk
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