The Impact of Imperfect Timekeeping on Quantum Control
- URL: http://arxiv.org/abs/2301.10767v3
- Date: Mon, 23 Oct 2023 09:08:04 GMT
- Title: The Impact of Imperfect Timekeeping on Quantum Control
- Authors: Jake Xuereb, Florian Meier, Paul Erker, Mark T. Mitchison and Marcus
Huber
- Abstract summary: We study how limitations on acquiring knowledge of time impact controlled quantum operations.
We show that the quality of timekeeping an agent has access to limits the circuit complexity they are able to achieve.
We show that cooling a qubit can be achieved using a timer of arbitrary quality for control.
- Score: 0.24999074238880484
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In order to unitarily evolve a quantum system, an agent requires knowledge of
time, a parameter which no physical clock can ever perfectly characterise. In
this letter, we study how limitations on acquiring knowledge of time impact
controlled quantum operations in different paradigms. We show that the quality
of timekeeping an agent has access to limits the circuit complexity they are
able to achieve within circuit-based quantum computation. We do this by
deriving an upper bound on the average gate fidelity achievable under imperfect
timekeeping for a general class of random circuits. Another area where quantum
control is relevant is quantum thermodynamics. In that context, we show that
cooling a qubit can be achieved using a timer of arbitrary quality for control:
timekeeping error only impacts the rate of cooling and not the achievable
temperature. Our analysis combines techniques from the study of autonomous
quantum clocks and the theory of quantum channels to understand the effect of
imperfect timekeeping on controlled quantum dynamics.
Related papers
- On Reducing the Execution Latency of Superconducting Quantum Processors via Quantum Program Scheduling [48.142860424323395]
We introduce the Quantum Program Scheduling Problem (QPSP) to improve the utility efficiency of quantum resources.
Specifically, a quantum program scheduling method concerning the circuit width, number of measurement shots, and submission time of quantum programs is proposed to reduce the execution latency.
arXiv Detail & Related papers (2024-04-11T16:12:01Z) - QuantumSEA: In-Time Sparse Exploration for Noise Adaptive Quantum
Circuits [82.50620782471485]
QuantumSEA is an in-time sparse exploration for noise-adaptive quantum circuits.
It aims to achieve two key objectives: (1) implicit circuits capacity during training and (2) noise robustness.
Our method establishes state-of-the-art results with only half the number of quantum gates and 2x time saving of circuit executions.
arXiv Detail & Related papers (2024-01-10T22:33:00Z) - Quantum Time: a novel resource for quantum information [0.0]
Time in relativity theory has a status different from that adopted by standard quantum mechanics.
Time is considered as a parameter measured with reference to an external absolute Newtonian frame.
arXiv Detail & Related papers (2023-10-25T13:13:59Z) - Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
We explore the applicability of quantum-data learning to practical problems in high-energy physics.
We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states.
The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
arXiv Detail & Related papers (2023-06-29T18:00:01Z) - State Preparation in a Jaynes-Cummings Lattice with Quantum Optimal
Control [2.8063310156671477]
We study a quantum optimal control (QOC) approach for fast generation of quantum ground states in a finite-sized Jaynes-Cummings lattice with unit filling.
Our result shows that the QOC approach can generate quantum many-body states with high fidelity when the evolution time is above a threshold time.
arXiv Detail & Related papers (2023-06-21T01:44:57Z) - Exact Quantum Speed Limits [0.0]
We derive exact quantum speed limits for the unitary dynamics of pure-state quantum system.
We estimate the evolution time for two- and higher-dimensional quantum systems.
Results will have a significant impact on our understanding of quantum physics.
arXiv Detail & Related papers (2023-05-05T20:38:54Z) - Engineered Dissipation for Quantum Information Science [0.0]
Dissipation is an essential tool for manipulating quantum information.
Dissipation engineering enables quantum measurement, quantum state preparation, and quantum state stabilization.
arXiv Detail & Related papers (2022-02-10T19:00:01Z) - Imaginary Time Propagation on a Quantum Chip [50.591267188664666]
Evolution in imaginary time is a prominent technique for finding the ground state of quantum many-body systems.
We propose an algorithm to implement imaginary time propagation on a quantum computer.
arXiv Detail & Related papers (2021-02-24T12:48:00Z) - Information Scrambling in Computationally Complex Quantum Circuits [56.22772134614514]
We experimentally investigate the dynamics of quantum scrambling on a 53-qubit quantum processor.
We show that while operator spreading is captured by an efficient classical model, operator entanglement requires exponentially scaled computational resources to simulate.
arXiv Detail & Related papers (2021-01-21T22:18:49Z) - Boundaries of quantum supremacy via random circuit sampling [69.16452769334367]
Google's recent quantum supremacy experiment heralded a transition point where quantum computing performed a computational task, random circuit sampling.
We examine the constraints of the observed quantum runtime advantage in a larger number of qubits and gates.
arXiv Detail & Related papers (2020-05-05T20:11:53Z) - Variationally Scheduled Quantum Simulation [0.0]
We investigate a variational method for determining the optimal scheduling procedure within the context of adiabatic state preparation.
In the absence of quantum error correction, running a quantum device for any meaningful amount of time causes a system to become susceptible to the loss of relevant information.
Our variational method is found to exhibit resilience against control errors, which are commonly encountered within the realm of quantum computing.
arXiv Detail & Related papers (2020-03-22T14:47:04Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.