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Cross-talk in superconducting qubit lattices with tunable couplers -- comparing transmon and fluxonium architectures
F. Lange, L. Heunisch, H. Fehske +2
Cross-talk between qubits is one of the main challenges for scaling superconducting quantum processors. Here, we use the density-matrix renormalization-group to numerically analyze…
Perturbative power series for block diagonalisation of Hermitian matrices
Ishan N. H. Mankodi, David P. DiVincenzo
Block diagonalisation of matrices by canonical transformation is important in various fields of physics. Such diagonalization is currently of interest in condensed matter physics,…
g-factor symmetry and topology in semiconductor band states
Mira Sharma, David P. DiVincenzo
The tensor, which determines the reaction of Kramers-degenerate states to an applied magnetic field, is of increasing importance in the current design of spin qubits. It i…
Lecture Notes on Quantum Electrical Circuits
Alessandro Ciani, David P. DiVincenzo, Barbara M. Terhal
During the last 30 years, stimulated by the quest to build superconducting quantum processors, a theory of quantum electrical circuits has emerged and this theory goes under the na…
Where are the photons in a transmission-line pulse?
Evangelos Varvelis, Debjyoti Biswas, David P. DiVincenzo
We develop a photonic description of short, one-dimensional electromagnetic pulses, specifically in the language of electrical transmission lines. Current practice in quantum techn…
Classical Chaos in Quantum Computers
Simon-Dominik Börner, Christoph Berke, David P. DiVincenzo +2
The development of quantum computing hardware is facing the challenge that current-day quantum processors, comprising 50-100 qubits, already operate outside the range of quantum si…
Observation of Josephson Harmonics in Tunnel Junctions
Dennis Willsch, Dennis Rieger, Patrick Winkel +27
Approaches to developing large-scale superconducting quantum processors must cope with the numerous microscopic degrees of freedom that are ubiquitous in solid-state devices. State…
Perturbative Analysis of Quasi-periodic Patterning of Transmon Quantum Computers: Enhancement of Many-Body Localization
Evangelos Varvelis, David P. DiVincenzo
Recently it has been shown that transmon qubit architectures experience a transition between a many-body localized and a quantum chaotic phase. While it is crucial for quantum comp…
Consistent Quantization of Nearly Singular Superconducting Circuits
Martin Rymarz, David P. DiVincenzo
The theory of circuit quantum electrodynamics has successfully analyzed superconducting circuits on the basis of the classical Lagrangian, and the corresponding quantized Hamiltoni…
Circuit quantization with time-dependent flux:the parallel-plate SQUID
Rohan Narayan Rajmohan, Ahmed Kenawy, David DiVincenzo
Quantum circuit theory has emerged as an essential tool for the study of the dynamics of superconducting circuits. Recently, the problem of accounting for time-dependent driving vi…
Active resonator depletion with short microwave pulses
Sashank Kaushik Sridhar, David P. DiVincenzo
We propose a physical model to explain the phenomenon of photon depletion in superconducting microwave resonators in the dispersive regime, coupled to Josephson junction qubits, vi…
Explicit diagrammatic solution of normalised, nondegenerate Rayleigh-Schrödinger perturbation theory
Joel C. Pommerening, David P. DiVincenzo
We solve the coupled recurrence relations for eigenenergies and -vectors in nondegenerate Rayleigh-Schrödinger perturbation theory under the constraint that the approximate eigenve…
A reset-if-leaked procedure for encoded spin qubits
Veit Langrock, David P. DiVincenzo
We report a substantially simplified procedure, based on group-theoretic reasoning, for the reduction of qubit leakage in exchange-only spin qubits. We to find exchange sequences w…
Transmon platform for quantum computing challenged by chaotic fluctuations
Christoph Berke, Evangelos Varvelis, Simon Trebst +2
From the perspective of many body physics, the transmon qubit architectures currently developed for quantum computing are systems of coupled nonlinear quantum resonators. A signifi…
Blind Oracular Quantum Computation
Cica Gustiani, David P. DiVincenzo
In the standard oracle model, an oracle efficiently evaluates an unknown classical function independent of the quantum algorithm itself. Quantum algorithms have a complex interrela…
Refuting a Proposed Axiom for Defining the Exact Rotating Wave Approximation
Daniel Zeuch, David P. DiVincenzo
For a linearly driven quantum two-level system, or qubit, sets of stroboscropic points along the cycloidal-like trajectory in the rotating frame can be approximated using the exact…
Hardware-Encoding Grid States in a Non-Reciprocal Superconducting Circuit
Martin Rymarz, Stefano Bosco, Alessandro Ciani +1
We present a circuit design composed of a non-reciprocal device and Josephson junctions whose ground space is doubly degenerate and the ground states are approximate codewords of t…
What is measured when a qubit measurement is performed on a multi-qubit chip?
Joel C. Pommerening, David P. DiVincenzo
We study how single-qubit dispersive readout works alongside two qubit coupling. To make calculations analytically tractable, we use a simplified model which retains core character…
Optimal gauge for the multimode Rabi model in circuit QED
Marco Roth, Fabian Hassler, David P. DiVincenzo
In circuit QED, a Rabi model can be derived by truncating the Hilbert space of the anharmonic qubit coupled to a linear, reactive environment. This truncation breaks the gauge inva…
Three-qubit exact Grover within the blind oracular quantum computation scheme
Cica Gustiani, David P. DiVincenzo
Here we extend the concept of blind client-server quantum computation, in which a client with limited quantum power controls the execution of a quantum computation on a powerful se…
Hamiltonian quantum computing with superconducting qubits
Alessandro Ciani, Barbara M. Terhal, David P. DiVincenzo
We consider how the Hamiltonian Quantum Computing scheme introduced in [arXiv:1509.01278] can be implemented using a 2D array of superconducting transmon qubits. We show how the sc…
Canonical circuit quantization with linear nonreciprocal devices
A. Parra-Rodriguez, I. L. Egusquiza, D. P. DiVincenzo +1
Nonreciprocal devices effectively mimic the breaking of time-reversal symmetry for the subspace of dynamical variables that they couple, and can be used to create chiral informatio…
Exact Rotating Wave Approximation
Daniel Zeuch, Fabian Hassler, Jesse J. Slim +1
The Hamiltonian of a linearly driven two-level system, or qubit, in the standard rotating frame contains non-commuting terms that oscillate at twice the drive frequency, , rende…
Design of an inductively shunted transmon qubit with tunable transverse and longitudinal coupling
Susanne Richer
This thesis is set in the framework of superconducting transmon-type qubit architectures with special focus on two important types of coupling between qubits and harmonic resonator…