Quantum Computation and Communication in Bosonic Systems
- URL: http://arxiv.org/abs/2103.09445v1
- Date: Wed, 17 Mar 2021 05:09:04 GMT
- Title: Quantum Computation and Communication in Bosonic Systems
- Authors: Kyungjoo Noh
- Abstract summary: I provide an overview of bosonic quantum error correction schemes and present my contributions to the field.
I demonstrate that fault-tolerant bosonic QEC is possible by concatenating a single-mode bosonic code with a multi-qubit error-correcting code.
I provide explicit bosonic error correction schemes that nearly achieve the fundamental performance limit set by the quantum capacity.
- Score: 1.52292571922932
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum computation and communication are important branches of quantum
information science. However, noise in realistic quantum devices fundamentally
limits the utility of these quantum technologies. A conventional approach
towards large-scale and fault-tolerant quantum information processing is to use
multi-qubit quantum error correction (QEC), that is, to encode a logical
quantum bit (or a logical qubit) redundantly over many physical qubits such
that the redundancy can be used to detect errors. The required resource
overhead associated with the use of conventional multi-qubit QEC schemes,
however, is too high for these schemes to be realized at scale with currently
available quantum devices. Recently, bosonic (or continuous-variable) quantum
error correction has risen as a promising hardware-efficient alternative to
multi-qubit QEC schemes. In this thesis, I provide an overview of bosonic QEC
and present my contributions to the field. Specifically, I present the
benchmark and optimization results of various single-mode bosonic codes against
practically relevant excitation loss errors. I also demonstrate that
fault-tolerant bosonic QEC is possible by concatenating a single-mode bosonic
code with a multi-qubit error-correcting code. Moreover, I discuss the
fundamental aspects of bosonic QEC using the framework of quantum communication
theory. In particular, I present improved bounds on important
communication-theoretic quantities such as the quantum capacity of bosonic
Gaussian channels. Furthermore, I provide explicit bosonic error correction
schemes that nearly achieve the fundamental performance limit set by the
quantum capacity. I conclude the thesis with discussions on the importance of
non-Gaussian resources for continuous-variable quantum information processing.
Related papers
- A Quantum-Classical Collaborative Training Architecture Based on Quantum
State Fidelity [50.387179833629254]
We introduce a collaborative classical-quantum architecture called co-TenQu.
Co-TenQu enhances a classical deep neural network by up to 41.72% in a fair setting.
It outperforms other quantum-based methods by up to 1.9 times and achieves similar accuracy while utilizing 70.59% fewer qubits.
arXiv Detail & Related papers (2024-02-23T14:09:41Z) - Near-Term Distributed Quantum Computation using Mean-Field Corrections
and Auxiliary Qubits [77.04894470683776]
We propose near-term distributed quantum computing that involve limited information transfer and conservative entanglement production.
We build upon these concepts to produce an approximate circuit-cutting technique for the fragmented pre-training of variational quantum algorithms.
arXiv Detail & Related papers (2023-09-11T18:00:00Z) - Deep Quantum Error Correction [73.54643419792453]
Quantum error correction codes (QECC) are a key component for realizing the potential of quantum computing.
In this work, we efficiently train novel emphend-to-end deep quantum error decoders.
The proposed method demonstrates the power of neural decoders for QECC by achieving state-of-the-art accuracy.
arXiv Detail & Related papers (2023-01-27T08:16:26Z) - Quantum Error Correction: Noise-adapted Techniques and Applications [2.122752621320654]
Theory of quantum error correction provides a scheme by which the effects of such noise on quantum states can be mitigated.
We focus on recent theoretical advances in the domain of noise-adapted QEC, and highlight some key open questions.
We conclude with a review of the theory of quantum fault tolerance which gives a quantitative estimate of the physical noise threshold below which error-resilient quantum computation is possible.
arXiv Detail & Related papers (2022-07-31T05:23:50Z) - Quantum Semantic Communications for Resource-Efficient Quantum Networking [52.3355619190963]
This letter proposes a novel quantum semantic communications (QSC) framework exploiting advancements in quantum machine learning and quantum semantic representations.
The proposed framework achieves approximately 50-75% reduction in quantum communication resources needed, while achieving a higher quantum semantic fidelity.
arXiv Detail & Related papers (2022-05-05T03:49:19Z) - Mitigating errors by quantum verification and post-selection [0.0]
We present a technique for quantum error mitigation based on quantum verification, the so-called accreditation protocol, together with post-selection.
We discuss the sample complexity of our procedure and provide rigorous guarantees of errors being mitigated under some realistic assumptions on the noise.
Our technique also allows for time dependant behaviours, as we allow for the output states to be different between different runs of the accreditation protocol.
arXiv Detail & Related papers (2021-09-29T10:29:39Z) - Direct Quantum Communications in the Presence of Realistic Noisy
Entanglement [69.25543534545538]
We propose a novel quantum communication scheme relying on realistic noisy pre-shared entanglement.
Our performance analysis shows that the proposed scheme offers competitive QBER, yield, and goodput.
arXiv Detail & Related papers (2020-12-22T13:06:12Z) - Bosonic quantum error correction codes in superconducting quantum
circuits [0.0]
We review the recent progress of the bosonic codes, including the Gottesman-Kitaev-Preskill codes, cat codes, and binomial codes.
We discuss the opportunities of bosonic codes in various quantum applications, ranging from fault-tolerant quantum computation to quantum metrology.
arXiv Detail & Related papers (2020-10-17T02:58:37Z) - Fault-tolerant Coding for Quantum Communication [71.206200318454]
encode and decode circuits to reliably send messages over many uses of a noisy channel.
For every quantum channel $T$ and every $eps>0$ there exists a threshold $p(epsilon,T)$ for the gate error probability below which rates larger than $C-epsilon$ are fault-tolerantly achievable.
Our results are relevant in communication over large distances, and also on-chip, where distant parts of a quantum computer might need to communicate under higher levels of noise.
arXiv Detail & Related papers (2020-09-15T15:10:50Z) - Quantum information processing with bosonic qubits in circuit QED [1.2891210250935146]
We review recent developments in the theory and implementation of quantum error correction with bosonic codes.
We report the progress made towards realizing fault-tolerant quantum information processing with cQED devices.
arXiv Detail & Related papers (2020-08-31T10:27:06Z) - Minimizing estimation runtime on noisy quantum computers [0.0]
"engineered likelihood function" (ELF) is used for carrying out Bayesian inference.
We show how the ELF formalism enhances the rate of information gain in sampling as the physical hardware transitions from the regime of noisy quantum computers.
This technique speeds up a central component of many quantum algorithms, with applications including chemistry, materials, finance, and beyond.
arXiv Detail & Related papers (2020-06-16T17:46:18Z)
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.