Quantum Trajectories Of A Superconducting Qubit
Download Quantum Trajectories Of A Superconducting Qubit full books in PDF, epub, and Kindle. Read online free Quantum Trajectories Of A Superconducting Qubit ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads.
Author |
: Steven Joseph Weber |
Publisher |
: |
Total Pages |
: 147 |
Release |
: 2014 |
ISBN-10 |
: OCLC:919405022 |
ISBN-13 |
: |
Rating |
: 4/5 (22 Downloads) |
Synopsis Quantum Trajectories of a Superconducting Qubit by : Steven Joseph Weber
In quantum mechanics, the process of measurement is intrinsically probabilistic. As a result, continuously monitoring a quantum system will randomly perturb its natural unitary evolution. An accurate measurement record documents this stochastic evolution and can be used to reconstruct the quantum trajectory of the system state in a single experimental iteration. We use weak measurements to track the individual quantum trajectories of a superconducting qubit that evolves under the competing influences of continuous weak measurement and Rabi drive. We analyze large ensembles of such trajectories to examine their characteristics and determine their statistical properties. For example, by considering only the subset of trajectories that evolve between any chosen initial and final states, we can deduce the most probable path through quantum state space. Our investigation reveals the rich interplay between measurement dynamics, typically associated with wavefunction collapse, and unitary evolution. Our results provide insight into the dynamics of open quantum systems and may enable new methods of quantum state tomography, quantum state steering through measurement, and active quantum control.
Author |
: Dian Tan |
Publisher |
: |
Total Pages |
: 128 |
Release |
: 2017 |
ISBN-10 |
: OCLC:1034015774 |
ISBN-13 |
: |
Rating |
: 4/5 (74 Downloads) |
Synopsis Weak Measurement and Quantum Smoothing of a Superconducting Qubit by : Dian Tan
In quantum mechanics, the measurement outcome of an observable in a quantum system is intrinsically random, yielding a probability distribution. The state of the quantum system can be described by a density matrix (t), which depends on the information accumulated until time t, and represents our knowledge about the system. The density matrix (t) gives probabilities for the outcomes of measurements at time t. Further probing of the quantum system allows us to refine our prediction in hindsight. In this thesis, we experimentally examine a quantum smoothing theory in a superconducting qubit by introducing an auxiliary matrix E(t) which is conditioned on information obtained from time t to a final time T. With the complete information before and after time t, the pair of matrices [(t), E(t)] can be used to make smoothed predictions for the measurement outcome at time t. We apply the quantum smoothing theory in the case of continuous weak measurement unveiling the retrodicted quantum trajectories and weak values. In the case of strong projective measurement, while the density matrix (t) with only diagonal elements in a given basis |n > may be treated as a classical mixture, we demonstrate a failure of this classical mixture description in determining the smoothed probabilities for the measurement outcome at time t with both diagonal (t) and diagonal E(t). We study the correlations between quantum states and weak measurement signals and examine aspects of the time symmetry of continuous quantum measurement. We also extend our study of quantum smoothing theory to the case of resonance fluorescence of a superconducting qubit with homodyne measurement and observe some interesting effects such as the modification of the excited state probabilities, weak values, and evolution of the predicted and retrodicted trajectories.
Author |
: Cécile Grèzes |
Publisher |
: Springer |
Total Pages |
: 240 |
Release |
: 2015-08-19 |
ISBN-10 |
: 9783319215723 |
ISBN-13 |
: 3319215728 |
Rating |
: 4/5 (23 Downloads) |
Synopsis Towards a Spin-Ensemble Quantum Memory for Superconducting Qubits by : Cécile Grèzes
This work describes theoretical and experimental advances towards the realization of a hybrid quantum processor in which the collective degrees of freedom of an ensemble of spins in a crystal are used as a multi-qubit register for superconducting qubits. A memory protocol made of write, read and reset operations is first presented, followed by the demonstration of building blocks of its implementation with NV center spins in diamond. Qubit states are written by resonant absorption of a microwave photon in the spin ensemble and read out of the memory on-demand by applying Hahn echo refocusing techniques to the spins. The reset step is implemented in between two successive write-read sequences using optical repumping of the spins.
Author |
: Pratim Kumar Chattaraj |
Publisher |
: CRC Press |
Total Pages |
: 412 |
Release |
: 2016-04-19 |
ISBN-10 |
: 9781439825624 |
ISBN-13 |
: 1439825629 |
Rating |
: 4/5 (24 Downloads) |
Synopsis Quantum Trajectories by : Pratim Kumar Chattaraj
The application of quantum mechanics to many-particle systems has been an active area of research in recent years as researchers have looked for ways to tackle difficult problems in this area. The quantum trajectory method provides an efficient computational technique for solving both stationary and time-evolving states, encompassing a large area o
Author |
: Mollie Elisheva Schwartz |
Publisher |
: |
Total Pages |
: 144 |
Release |
: 2016 |
ISBN-10 |
: OCLC:994290026 |
ISBN-13 |
: |
Rating |
: 4/5 (26 Downloads) |
Synopsis Engineering Dissipation to Generate Entanglement Between Remote Superconducting Quantum Bits by : Mollie Elisheva Schwartz
Superconducting quantum circuits provide a promising avenue for scalable quantum computation and simulation. Their chief advantage is that, unlike physical atoms or electrons, these ``artificial atoms'' can be designed with nearly-arbitrarily large coupling to one another and to their electromagnetic environment. This strong coupling allows for fast quantum bit (qubit) operations, and for efficient readout. However, strong coupling comes at a price: a qubit that is strongly coupled to its environment is also strongly susceptible to losses and dissipation, as coherent information leaks from the quantum system under study into inaccessible ``bath'' modes. Extensive work in the field is dedicated to engineering away these losses to the extent possible, and to using error correction to undo the effects of losses that are unavoidable. This dissertation explores an alternate approach to dissipation: we study avenues by which dissipation itself can be used to generate, rather than destroy, quantum resources. We do so specifically in the context of quantum entanglement, one of the most important and most counter-intuitive aspects of quantum mechanics. Entanglement generation and stabilization is critical to most non-trivial implementations of quantum computing and quantum simulation, as it is the property that distinguishes a multi-qubit quantum system from a string of classical bits. The ability to harness dissipation to generate, purify, and stabilize entanglement is therefore highly desirable. We begin with an overview of quantum dissipation and measurement, followed by an introduction to entanglement and to the superconducting quantum information architecture. We then discuss three sets of experiments that highlight and explore the powerful uses of dissipation in quantum systems. First, we use an entangling measurement to probabilistically generate entanglement between two qubits separated by more than one meter of ordinary cable. This represents the first achievement of remote entanglement in a superconducting qubit system, which will be a critical capability as quantum computers and simulators scale. We then use a nearly-quantum limited amplifier to unravel individual quantum trajectories of the system under that entangling measurement, performing the first systematic exploration of entangled trajectories in any physical implementation. We finally demonstrate deterministic entanglement by engineering a lossy quantum environment to efficiently generate and stabilize entangled states with both frequency and symmetry selectivity. These experiments provide evidence that explicitly building dissipation into an engineered quantum system can enable, rather than hinder, the study of fundamental quantum mechanics and complex many-body Hamiltonians.
Author |
: Robert Hadfield |
Publisher |
: Springer |
Total Pages |
: 256 |
Release |
: 2016-02-29 |
ISBN-10 |
: 9783319240916 |
ISBN-13 |
: 3319240919 |
Rating |
: 4/5 (16 Downloads) |
Synopsis Superconducting Devices in Quantum Optics by : Robert Hadfield
This book presents the basics and applications of superconducting devices in quantum optics. Over the past decade, superconducting devices have risen to prominence in the arena of quantum optics and quantum information processing. Superconducting detectors provide unparalleled performance for the detection of infrared photons in quantum cryptography, enable fundamental advances in quantum optics, and provide a direct route to on-chip optical quantum information processing. Superconducting circuits based on Josephson junctions provide a blueprint for scalable quantum information processing as well as opening up a new regime for quantum optics at microwave wavelengths. The new field of quantum acoustics allows the state of a superconducting qubit to be transmitted as a phonon excitation. This volume, edited by two leading researchers, provides a timely compilation of contributions from top groups worldwide across this dynamic field, anticipating future advances in this domain.
Author |
: Matthew Reed |
Publisher |
: Lulu.com |
Total Pages |
: 384 |
Release |
: 2013 |
ISBN-10 |
: 9781304084866 |
ISBN-13 |
: 1304084868 |
Rating |
: 4/5 (66 Downloads) |
Synopsis Entanglement and Quantum Error Correction with Superconducting Qubits by : Matthew Reed
Softcover version of 2013 Ph.D. thesis of Matthew David Reed presented to the Physics department of Yale University. Concerns the realization of quantum error correction in the circuit quantum electrodynamics architecture, a precursor to quantum computing.
Author |
: Amelia A Weaver |
Publisher |
: |
Total Pages |
: 0 |
Release |
: 2023-07-06 |
ISBN-10 |
: 0798769254 |
ISBN-13 |
: 9780798769259 |
Rating |
: 4/5 (54 Downloads) |
Synopsis Superconducting Qubit's Journey Through Quantum by : Amelia A Weaver
The initial observations which motived the theory of quantum mechanics, and later the wide body of results which helped to solidify the theory, were based on experiments performed on large ensembles of quantum systems, such as atoms and photons. In quantum theory, the basic mathematical object describing the state of a physical system, the wave function evolves deterministically in time with dynamics governed by the Schrödinger equation. When observing some physical property of the system, the wavefunction describes the probability that a measurement of an individual quantum system within an ensemble of identically prepared systems will yield a particular measurement result.
Author |
: Andrew N. Jordan |
Publisher |
: Cambridge University Press |
Total Pages |
: 283 |
Release |
: 2024-02-15 |
ISBN-10 |
: 9781009100069 |
ISBN-13 |
: 1009100068 |
Rating |
: 4/5 (69 Downloads) |
Synopsis Quantum Measurement by : Andrew N. Jordan
A novel, physics-first approach to quantum measurement, using physical experiments to describe the underlying mathematical formalism.
Author |
: Andrew N. Jordan |
Publisher |
: Cambridge University Press |
Total Pages |
: 284 |
Release |
: 2024-02-15 |
ISBN-10 |
: 9781009117548 |
ISBN-13 |
: 1009117548 |
Rating |
: 4/5 (48 Downloads) |
Synopsis Quantum Measurement by : Andrew N. Jordan
This book adopts a novel, physics-first approach to quantum measurement, using physical experiments as the basis to describe the underlying mathematical formalism. Topics covered include weak measurements, quantum measurement reversal, quantum trajectories and the stochastic path integral formalism. The theory of quantum measurement is also covered in detail, including discussion of how it can be tested and demonstrated in a laboratory: how to build quantum-limited amplifiers, fundamental noise limits imposed on measurement by quantum mechanics, and the design of superconducting circuits. This text is an excellent introduction for students with a basic understanding of quantum mechanics wanting to learn more about measurement theory, and the inclusion of a wide selection of end-of-chapter exercises make this book ideal for emerging courses on the topic. Key chapters introducing the foundations of quantum computing and the history of measurement theory are equally accessible to a broader, less specialised audience.