Communicating Properties of Quantum States over Classical Noisy Channels

• URL: http://arxiv.org/abs/2512.04913v2
• Date: Fri, 05 Dec 2025 11:55:15 GMT
• Title: Communicating Properties of Quantum States over Classical Noisy Channels
• Authors: Nikhitha Nunavath, Jiechen Chen, Osvaldo Simeone, Riccardo Bassoli, Frank H. P. Fitzek,
• Abstract summary: We introduce shadow tomography-based transmission with unequal error protection (STT-UEP)<n>It enables efficient transmission of properties of quantum states, allowing decoder-side estimation of arbitrary observables.<n>We provide theoretical guarantees on estimation accuracy as a function of the bit error probability of the classical channel.
• Score: 29.003268364998927
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Transmitting information about quantum states over classical noisy channels is an important problem with applications to science, computing, and sensing. This task, however, poses fundamental challenges due to the exponential scaling of state space with system size. We introduce shadow tomography-based transmission with unequal error protection (STT-UEP), a novel communication protocol that enables efficient transmission of properties of quantum states, allowing decoder-side estimation of arbitrary observables. Unlike conventional approaches requiring the transmission of a number of bits that is exponential in the number of qubits, STT-UEP achieves communication complexity that scales logarithmically with the number of observables, depending on the observable weight. The protocol exploits classical shadow tomography for measurement efficiency, and applies unequal error protection by encoding measurement bases with stronger channel codes than measurement outcomes. We provide theoretical guarantees on estimation accuracy as a function of the bit error probability of the classical channel, and validate the approach against several benchmarks via numerical results.

Related papers

• Information-Scrambling-Enhanced Quantum Sensing Beyond the Standard Quantum Limit [24.972499920814034]
  We experimentally demonstrate a scalable, scrambling-enhanced quantum sensing protocol, implemented on a cross-shaped superconducting quantum processor.<n>By harnessing quantum information scrambling, the protocol converts local interactions into delocalized metrologically useful correlations, enabling robust signal amplification.<n>This work demonstrates a readily scalable path toward practical quantum sensing advantages with prevalent experimental platforms.
  arXiv  Detail & Related papers  (2025-12-24T13:05:34Z)
• Fault-Tolerant Information Processing with Quantum Weak Measurement [15.123920303879792]
  A fault-tolerant information processing approach via quantum weak measurement is proposed.<n>The signal to be protected can be retrieved with a minimal distortion after having been transmitted through a noisy channel.<n>The proposed approach may provide a solution for suppressing noise effects in long-distance quantum communication, high-sensitivity quantum sensing, and accurate quantum computation.
  arXiv  Detail & Related papers  (2025-12-07T01:39:22Z)
• Efficient characterization of coherent and correlated noise in layers of gates [0.3277163122167433]
  We present a quantum process tomography protocol based on a low-degree ansatz for the quantum channel.<n>We extend the protocol to channels consisting of a layer of quantum gates with a fixed number of non-Clifford gates, followed by a low-degree noise channel.
  arXiv  Detail & Related papers  (2025-07-02T17:34:18Z)
• Crosstalk-Resilient Quantum MIMO for Scalable Quantum Communications [40.44880302154388]
  Crosstalk arises when physically coupled quantum modes interfere, degrading signal fidelity.<n>We propose a mitigation strategy based on encoding discrete-variable quantum information into continuous-variable modes.<n>We prove the existence of a gauge-fixing decoder enabling recovery of the logical information.
  arXiv  Detail & Related papers  (2025-06-26T18:40:26Z)
• Mitigation of correlated readout errors without randomized measurements [0.0]
  We present a readout error-mitigation protocol that uses only single-qubit Pauli measurements.<n>The proposed approach captures a very broad class of correlated noise models.<n>It is based on a complete and efficient characterization of few-qubit correlated positive operator-valued measures.
  arXiv  Detail & Related papers  (2025-03-31T16:21:45Z)
• Efficient Learning for Linear Properties of Bounded-Gate Quantum Circuits [62.46800898243033]
  Recent progress in quantum learning theory prompts a question: can linear properties of a large-qubit circuit be efficiently learned from measurement data generated by varying classical inputs?<n>We prove that the sample complexity scaling linearly in $d$ is required to achieve a small prediction error, while the corresponding computational complexity may scale exponentially in d.<n>We propose a kernel-based method leveraging classical shadows and truncated trigonometric expansions, enabling a controllable trade-off between prediction accuracy and computational overhead.
  arXiv  Detail & Related papers  (2024-08-22T08:21:28Z)
• 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)
• Fault-tolerant Coding for Entanglement-Assisted Communication [46.0607942851373]
  This paper studies the study of fault-tolerant channel coding for quantum channels. We use techniques from fault-tolerant quantum computing to establish coding theorems for sending classical and quantum information in this scenario. We extend these methods to the case of entanglement-assisted communication, in particular proving that the fault-tolerant capacity approaches the usual capacity when the gate error approaches zero.
  arXiv  Detail & Related papers  (2022-10-06T14:09:16Z)
• Detecting Quantum Capacities of Continuous-Variable Quantum Channels [0.7614628596146599]
  We introduce a method for detecting the quantum capacity of continuous variable communication channels and memories without performing a full process tomography. Our method works in the general scenario where the devices are used a finite number of times, can exhibit correlations across multiple uses, and can change dynamically under the control of a malicious adversary.
  arXiv  Detail & Related papers  (2021-08-30T16:18:39Z)
• Composably secure data processing for Gaussian-modulated continuous variable quantum key distribution [58.720142291102135]
  Continuous-variable quantum key distribution (QKD) employs the quadratures of a bosonic mode to establish a secret key between two remote parties. We consider a protocol with homodyne detection in the general setting of composable finite-size security. In particular, we analyze the high signal-to-noise regime which requires the use of high-rate (non-binary) low-density parity check codes.
  arXiv  Detail & Related papers  (2021-03-30T18:02:55Z)
• 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)
• 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)

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.