Error-resilience Phase Transitions in Encoding-Decoding Quantum Circuits
- URL: http://arxiv.org/abs/2308.06321v2
- Date: Thu, 21 Dec 2023 10:10:32 GMT
- Title: Error-resilience Phase Transitions in Encoding-Decoding Quantum Circuits
- Authors: Xhek Turkeshi, Piotr Sierant
- Abstract summary: We investigate a class of encoding-decoding random circuits subject to local coherent and incoherent errors.
We analytically demonstrate the existence of a phase transition from an error-protecting phase to an error-vulnerable phase.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Understanding how errors deteriorate the information encoded in a many-body
quantum system is a fundamental problem with practical implications for quantum
technologies. Here, we investigate a class of encoding-decoding random circuits
subject to local coherent and incoherent errors. We analytically demonstrate
the existence of a phase transition from an error-protecting phase to an
error-vulnerable phase occurring when the error strength is increased. This
transition is accompanied by R\'enyi entropy transitions and by onset of
multifractal features in the system. Our results provide a new perspective on
storing and processing quantum information, while the introduced framework
enables an analytic understanding of a dynamical critical phenomenon in a
many-body system.
Related papers
- Quantum-enhanced learning with a controllable bosonic variational sensor network [0.40964539027092906]
Supervised learning assisted by an entangled sensor network (SLAEN)
We propose a SLAEN capable of handling nonlinear data classification tasks.
We uncover a threshold phenomenon in classification error -- when the energy of probes exceeds a certain threshold, the error drastically to zero.
arXiv Detail & Related papers (2024-04-28T19:41:40Z) - Advantage of Quantum Neural Networks as Quantum Information Decoders [1.1842028647407803]
We study the problem of decoding quantum information encoded in the groundspaces of topological stabilizer Hamiltonians.
We first prove that the standard stabilizer-based error correction and decoding schemes work adequately perturbed well in such quantum codes.
We then prove that Quantum Neural Network (QNN) decoders provide an almost quadratic improvement on the readout error.
arXiv Detail & Related papers (2024-01-11T23:56:29Z) - 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) - Measurement-induced entanglement and teleportation on a noisy quantum
processor [105.44548669906976]
We investigate measurement-induced quantum information phases on up to 70 superconducting qubits.
We use a duality mapping, to avoid mid-circuit measurement and access different manifestations of the underlying phases.
Our work demonstrates an approach to realize measurement-induced physics at scales that are at the limits of current NISQ processors.
arXiv Detail & Related papers (2023-03-08T18:41:53Z) - 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) - Characterizing a non-equilibrium phase transition on a quantum computer [0.0]
We use the Quantinuum H1-1 quantum computer to realize a quantum extension of a simple classical disease spreading process.
We are able to implement large instances of the model with $73$ sites and up to $72$ circuit layers.
This work demonstrates how quantum computers capable of mid-circuit resets, measurements, and conditional logic enable the study of difficult problems in quantum many-body physics.
arXiv Detail & Related papers (2022-09-26T17:59:06Z) - Quantum circuit debugging and sensitivity analysis via local inversions [62.997667081978825]
We present a technique that pinpoints the sections of a quantum circuit that affect the circuit output the most.
We demonstrate the practicality and efficacy of the proposed technique by applying it to example algorithmic circuits implemented on IBM quantum machines.
arXiv Detail & Related papers (2022-04-12T19:39:31Z) - Decoherence and Quantum Error Correction for Quantum Computing and
Communications [0.0]
The protection of quantum information via quantum error correction codes (QECC) is of paramount importance to construct fully operational quantum computers.
The nature of decoherence is studied and mathematically modelled; and QECCs are designed and optimized so that they exhibit better error correction capabilities.
arXiv Detail & Related papers (2022-02-17T11:26:58Z) - Observation of measurement-induced quantum phases in a trapped-ion
quantum computer [1.327151508840301]
Many-body open quantum systems balance internal dynamics against decoherence from interactions with an environment.
We explore this balance via random quantum circuits implemented on a trapped ion quantum computer.
We find convincing evidence of the two phases and show numerically that, with modest system scaling, critical properties of the transition clearly emerge.
arXiv Detail & Related papers (2021-06-10T16:08:50Z) - Quantum information spreading in a disordered quantum walk [50.591267188664666]
We design a quantum probing protocol using Quantum Walks to investigate the Quantum Information spreading pattern.
We focus on the coherent static and dynamic disorder to investigate anomalous and classical transport.
Our results show that a Quantum Walk can be considered as a readout device of information about defects and perturbations occurring in complex networks.
arXiv Detail & Related papers (2020-10-20T20:03:19Z) - Deterministic correction of qubit loss [48.43720700248091]
Loss of qubits poses one of the fundamental obstacles towards large-scale and fault-tolerant quantum information processors.
We experimentally demonstrate the implementation of a full cycle of qubit loss detection and correction on a minimal instance of a topological surface code.
arXiv Detail & Related papers (2020-02-21T19:48:53Z)
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.