38 research outputs found
Bosonic Qiskit
The practical benefits of hybrid quantum information processing hardware that
contains continuous-variable objects (bosonic modes such as mechanical or
electromagnetic oscillators) in addition to traditional (discrete-variable)
qubits have recently been demonstrated by experiments with bosonic codes that
reach the break-even point for quantum error correction and by efficient
Gaussian boson sampling simulation of the Franck-Condon spectra of triatomic
molecules that is well beyond the capabilities of current qubit-only hardware.
The goal of this Co-design Center for Quantum Advantage (C2QA) project is to
develop an instruction set architecture (ISA) for hybrid qubit/bosonic mode
systems that contains an inventory of the fundamental operations and
measurements that are possible in such hardware. The corresponding abstract
machine model (AMM) would also contain a description of the appropriate error
models associated with the gates, measurements and time evolution of the
hardware. This information has been implemented as an extension of Qiskit.
Qiskit is an opensource software development toolkit (SDK) for simulating the
quantum state of a quantum circuit on a system with Python 3.7+ and for running
the same circuits on prototype hardware within the IBM Quantum Lab. We
introduce the Bosonic Qiskit software to enable the simulation of hybrid
qubit/bosonic systems using the existing Qiskit software development kit. This
implementation can be used for simulating new hybrid systems, verifying
proposed physical systems, and modeling systems larger than can currently be
constructed. We also cover tutorials and example use cases included within the
software to study Jaynes- Cummings models, bosonic Hubbard models, plotting
Wigner functions and animations, and calculating maximum likelihood estimations
using Wigner functions
Finite-Wavevector Electromagnetic Response of Fractional Quantized Hall States
A fractional quantized Hall state with filling fraction can
be modeled as an integer quantized Hall state of transformed fermions,
interacting with a Chern-Simons field. The electromagnetic response function
for these states at arbitrary frequency and wavevector can be calculated using
a semiclassical approximation or the Random Phase Approximation (RPA). However,
such calculations do not properly take into account the large effective mass
renormalization which is present in the Chern-Simons theory. We show how the
mass renormalization can be incorporated in a calculation of the response
function within a Landau Fermi liquid theory approach such that Kohn's theorem
and the -sum rules are properly satisfied. We present results of such
calculations.Comment: 19 pages (REVTeX 3.0), 5 figures available on request; HU-CMT-93S0
Quantum nano-electromechanics with electrons, quasiparticles and Cooper pairs: effective bath descriptions and strong feedback effects
Using a quantum noise approach, we discuss the physics of both normal metal
and superconducting single electron transistors (SET) coupled to mechanical
resonators. Particular attention is paid to the regime where transport occurs
via incoherent Cooper-pair tunneling (either via the Josephson quasiparticle
(JQP) or double Josephson quasiparticle (DJQP) process). We show that,
surprisingly, the back-action of tunneling Cooper pairs (or superconducting
quasiparticles) can be used to significantly cool the oscillator. We also
discuss the physical origin of negative damping effects in this system, and how
they can lead to a regime of strong electro-mechanical feedback, where despite
a weak SET - oscillator coupling, the motion of the oscillator strongly effects
the tunneling of the Cooper pairs. We show that in this regime, the oscillator
is characterized by an energy-dependent effective temperature. Finally, we
discuss the strong analogy between back-action effects of incoherent
Cooper-pair tunneling and ponderomotive effects in an optical cavity with a
moveable mirror; in our case, tunneling Cooper pairs play the role of the
cavity photons.Comment: 27 pages, 7 figures; submitted to the New Journal of Physics focus
issue on Nano-electromechanical Systems; error in references correcte
Freezing of the quantum Hall liquid at 1/7 and 1/9
We compare the free energy computed from the ground state energy and
low-lying excitations of the 2-D Wigner solid and the fractional quantum Hall
liquid, at magnetic filling factors and 1/9. We find that the
Wigner solid melts into the fractional quantum Hall liquid at roughly the same
temperature as that of some recent luminescence experiments, while it remains a
solid at the lower temperatures characteristic of the transport experiments. We
propose this melting as a consistent interpretation of both sets of
experiments.Comment: uses RevTeX 2.0 or 3.
Variational quantum Monte Carlo study of two-dimensional Wigner crystals: exchange, correlation, and magnetic field effects
The two-dimensional Wigner crystals are studied with the variational quantum
Monte Carlo method. The close relationship between the ground-state
wavefunction and the collective excitations in the system is illustrated, and
used to guide the construction of the ground-state wavefunction of the strongly
correlated solid. Exchange, correlation, and magnetic field effects all give
rise to distinct physical phenomena. In the absence of any external magnetic
field, interesting spin-orderings are observed in the ground-state of the
electron crystal in various two-dimensional lattices. In particular,
two-dimensional bipartite lattices are shown not to lead necessarily to an
antiferromagnetic ground-state. In the quantum Hall effect regime, a strong
magnetic field introduces new energy and length scales. The magnetic field
quenches the kinetic energy and poses constraints on how the electrons may
correlate with each other. Care is taken to ensure the appropriate
translational properties of the wavefunction when the system is in a uniform
magnetic field. We have examined the exchange, intra-Landau-level correlation
as well as Landau-level-mixing effects with various variational wavefunctions.
We also determine their dependences on the experimental parameters such as the
carrier effective mass at a modulation-doped semiconductor heterojunction. Our
results, when combined with some recent calculations for the energy of the
fractional quantum Hall liquid including Landau-level-mixing, show
quantitatively that in going from -doping to -doping in
heterojunction systems, the crossover filling factor from the fractional
quantum Hall liquid to the Wigner crystal changes from filling factor to . This lends strong support to the claim that theComment: LaTex file, 14 figures available from [email protected]
Architectures for Multinode Superconducting Quantum Computers
Many proposals to scale quantum technology rely on modular or distributed
designs where individual quantum processors, called nodes, are linked together
to form one large multinode quantum computer (MNQC). One scalable method to
construct an MNQC is using superconducting quantum systems with optical
interconnects. However, a limiting factor of these machines will be internode
gates, which may be two to three orders of magnitude noisier and slower than
local operations. Surmounting the limitations of internode gates will require a
range of techniques, including improvements in entanglement generation, the use
of entanglement distillation, and optimized software and compilers, and it
remains unclear how improvements to these components interact to affect overall
system performance, what performance from each is required, or even how to
quantify the performance of each. In this paper, we employ a `co-design'
inspired approach to quantify overall MNQC performance in terms of hardware
models of internode links, entanglement distillation, and local architecture.
In the case of superconducting MNQCs with microwave-to-optical links, we
uncover a tradeoff between entanglement generation and distillation that
threatens to degrade performance. We show how to navigate this tradeoff, lay
out how compilers should optimize between local and internode gates, and
discuss when noisy quantum links have an advantage over purely classical links.
Using these results, we introduce a roadmap for the realization of early MNQCs
which illustrates potential improvements to the hardware and software of MNQCs
and outlines criteria for evaluating the landscape, from progress in
entanglement generation and quantum memory to dedicated algorithms such as
distributed quantum phase estimation. While we focus on superconducting devices
with optical interconnects, our approach is general across MNQC
implementations.Comment: 23 pages, white pape
Building a Quantum Engineering Undergraduate Program
Contribution: A roadmap is provided for building a quantum engineering education program to satisfy U.S. national and international workforce needs.
Background: The rapidly growing quantum information science and engineering (QISE) industry will require both quantum-aware and quantum-proficient engineers at the bachelor\u27s level.
Research Question: What is the best way to provide a flexible framework that can be tailored for the full academic ecosystem?
Methodology: A workshop of 480 QISE researchers from across academia, government, industry, and national laboratories was convened to draw on best practices; representative authors developed this roadmap.
Findings: 1) For quantum-aware engineers, design of a first quantum engineering course, accessible to all STEM students, is described; 2) for the education and training of quantum-proficient engineers, both a quantum engineering minor accessible to all STEM majors, and a quantum track directly integrated into individual engineering majors are detailed, requiring only three to four newly developed courses complementing existing STEM classes; 3) a conceptual QISE course for implementation at any postsecondary institution, including community colleges and military schools, is delineated; 4) QISE presents extraordinary opportunities to work toward rectifying issues of inclusivity and equity that continue to be pervasive within engineering. A plan to do so is presented, as well as how quantum engineering education offers an excellent set of education research opportunities; and 5) a hands-on training plan on quantum hardware is outlined, a key component of any quantum engineering program, with a variety of technologies, including optics, atoms and ions, cryogenic and solid-state technologies, nanofabrication, and control and readout electronics