99 research outputs found
General phase spaces: from discrete variables to rotor and continuum limits
We provide a basic introduction to discrete-variable, rotor, and
continuous-variable quantum phase spaces, explaining how the latter two can be
understood as limiting cases of the first. We extend the limit-taking
procedures used to travel between phase spaces to a general class of
Hamiltonians (including many local stabilizer codes) and provide six examples:
the Harper equation, the Baxter parafermionic spin chain, the Rabi model, the
Kitaev toric code, the Haah cubic code (which we generalize to qudits), and the
Kitaev honeycomb model. We obtain continuous-variable generalizations of all
models, some of which are novel. The Baxter model is mapped to a chain of
coupled oscillators and the Rabi model to the optomechanical radiation pressure
Hamiltonian. The procedures also yield rotor versions of all models, five of
which are novel many-body extensions of the almost Mathieu equation. The toric
and cubic codes are mapped to lattice models of rotors, with the toric code
case related to U(1) lattice gauge theory.Comment: 22 pages, 3 figures; part of special issue on Rabi model; v2 minor
change
Asymmetric frequency conversion in nonlinear systems driven by a biharmonic pump
A novel mechanism of asymmetric frequency conversion is investigated in
nonlinear dispersive devices driven parametrically with a biharmonic pump. When
the relative phase between the first and second harmonics combined in a
two-tone pump is appropriately tuned, nonreciprocal frequency conversion,
either upward or downward, can occur. Full directionality and efficiency of the
conversion process is possible, provided that the distribution of pump power
over the harmonics is set correctly. While this asymmetric conversion effect is
generic, we describe its practical realization in a model system consisting of
a current-biased, resistively-shunted Josephson junction (RSJ). Here, the
multiharmonic Josephson oscillations, generated internally from the static
current bias, provide the pump drive.Comment: 5+ pages, 4 pages supplement. Expanded and modified discussion,
additional references and a new appendix in supplemental material detailing
the calculation of Josephson harmonics in the RS
Theory of remote entanglement via quantum-limited phase-preserving amplification
We show that a quantum-limited phase-preserving amplifier can act as a
which-path information eraser when followed by heterodyne detection. This 'beam
splitter with gain' implements a continuous joint measurement on the signal
sources. As an application, we propose heralded concurrent remote entanglement
generation between two qubits coupled dispersively to separate cavities.
Dissimilar qubit-cavity pairs can be made indistinguishable by simple
engineering of the cavity driving fields providing further experimental
flexibility and the prospect for scalability. Additionally, we find an analytic
solution for the stochastic master equation, a quantum filter, yielding a
thorough physical understanding of the nonlinear measurement process leading to
an entangled state of the qubits. We determine the concurrence of the entangled
states and analyze its dependence on losses and measurement inefficiencies.Comment: Main text (11 pages, 5 figures), updated to the published versio
Deterministic protocol for mapping a qubit to coherent state superpositions in a cavity
We introduce a new gate that transfers an arbitrary state of a qubit into a
superposition of two quasi-orthogonal coherent states of a cavity mode, with
opposite phases. This qcMAP gate is based on conditional qubit and cavity
operations exploiting the energy level dispersive shifts, in the regime where
they are much stronger than the cavity and qubit linewidths. The generation of
multi-component superpositions of quasi-orthogonal coherent states, non-local
entangled states of two resonators and multi-qubit GHZ states can be
efficiently achieved by this gate
Hardware-efficient autonomous quantum error correction
We propose a new method to autonomously correct for errors of a logical qubit
induced by energy relaxation. This scheme encodes the logical qubit as a
multi-component superposition of coherent states in a harmonic oscillator, more
specifically a cavity mode. The sequences of encoding, decoding and correction
operations employ the non-linearity provided by a single physical qubit coupled
to the cavity. We layout in detail how to implement these operations in a
practical system. This proposal directly addresses the task of building a
hardware-efficient and technically realizable quantum memory.Comment: 12 pages,6 figure
Implementation of low-loss superinductances for quantum circuits
The simultaneous suppression of charge fluctuations and offsets is crucial
for preserving quantum coherence in devices exploiting large quantum
fluctuations of the superconducting phase. This requires an environment with
both extremely low DC and high RF impedance. Such an environment is provided by
a superinductance, defined as a zero DC resistance inductance whose impedance
exceeds the resistance quantum at
frequencies of interest (1 - 10 GHz). In addition, the superinductance must
have as little dissipation as possible, and possess a self-resonant frequency
well above frequencies of interest. The kinetic inductance of an array of
Josephson junctions is an ideal candidate to implement the superinductance
provided its phase slip rate is sufficiently low. We successfully implemented
such an array using large Josephson junctions (), and measured
internal losses less than 20 ppm, self-resonant frequencies greater than 10
GHz, and phase slip rates less than 1 mHz
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