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

• Demonstrating quantum error mitigation on logical qubits [18.42082909094174]
  A long-standing challenge in quantum computing is developing technologies to overcome the inevitable noise in qubits. We propose and experimentally demonstrate the application of zero-noise extrapolation, a practical quantum error mitigation technique.
  arXiv  Detail & Related papers  (2025-01-15T19:00:33Z)
• Probing Entanglement Scaling Across a Quantum Phase Transition on a Quantum Computer [2.856143504551289]
  Investigation of strongly-correlated quantum matter is challenging due to dimensionality and complex entanglement structures. We implement a holographic subsystem tomography on a fully-connected trapped-ion quantum computer. For the first time, we demonstrate log-law scaling of subsystem entanglement entropies at criticality.
  arXiv  Detail & Related papers  (2024-12-24T18:56:44Z)
• Dissipation alters modes of information encoding in small quantum reservoirs near criticality [1.9260081982051918]
  Quantum reservoir computing (QRC) has emerged as a promising paradigm for harnessing near-term quantum devices to tackle temporal machine learning tasks. Here, we investigate a minimal model of a driven-dissipative quantum reservoir describing controllable coupling, intrinsic nonlinearity, and tunable photon loss. Key results show that, near a critical point marking a dynamical bifurcation, the system transitions from predominantly redundant to synergistic encoding.
  arXiv  Detail & Related papers  (2024-12-24T08:53:30Z)
• Quantum information scrambling in adiabatically-driven critical systems [49.1574468325115]
  Quantum information scrambling refers to the spread of the initially stored information over many degrees of freedom of a quantum many-body system. Here, we extend the notion of quantum information scrambling to critical quantum many-body systems undergoing an adiabatic evolution.
  arXiv  Detail & Related papers  (2024-08-05T18:00:05Z)
• 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)
• 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)
• 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)

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.