Disturbance Evaluation Circuit in Quantum Measurement

• URL: http://arxiv.org/abs/2405.11447v1
• Date: Sun, 19 May 2024 04:55:39 GMT
• Title: Disturbance Evaluation Circuit in Quantum Measurement
• Authors: Haruki Emori, Masanao Ozawa, Akihisa Tomita,
• Abstract summary: We propose a novel evaluation method for the quantum root-mean-square (QRMS) disturbance. We compare its performance with the existing approaches, known as the three-state method (TSM) and the weak measurement method (WMM)
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: According to the uncertainty principle, every quantum measurement accompanies disturbance. In particular, accurate sequential measurements need the accurate control of disturbance. However, the correct role of disturbance in the uncertainty principle has been known only recently. Understanding the disturbance is crucial for understanding the fundamentals of physics, and accurately evaluating the disturbance is important for quantum technologies such as quantum information processing and quantum metrology. Therefore, the experimental evaluation of the disturbance is a significant challenge in those fields. In this study, we propose a novel evaluation method for the quantum root-mean-square (QRMS) disturbance and compare its performance with the existing approaches, known as the three-state method (TSM) and the weak measurement method (WMM). Our method establishes a correspondence between the QRMS disturbance of the measurement and the second-order derivative of the decoherence induced in a newly introduced weak probe system with respect to the coupling strength of the weak interaction at its zero-limit. Furthermore, we demonstrate the effectiveness of our method in comparison with the other two through a simulation and experiment using a quantum computer. The results capture the key features of the TSM, WMM, and our method, providing insights into the strengths and limitations of these methods.

Related papers

• Scalable quantum measurement error mitigation via conditional independence and transfer learning [0.951828574518325]
  Mitigating measurement errors in quantum systems without relying on quantum error correction is critical for the practical development of quantum technology. Deep learning-based quantum measurement error mitigation has exhibited advantages over the linear inversion method due to its capability to correct non-linear noise. We propose a scalable quantum measurement error mitigation method that leverages the conditional independence of distant qubits and incorporates transfer learning techniques.
  arXiv  Detail & Related papers  (2023-08-01T06:39:01Z)
• 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)
• Potential and limitations of quantum extreme learning machines [55.41644538483948]
  We present a framework to model QRCs and QELMs, showing that they can be concisely described via single effective measurements. Our analysis paves the way to a more thorough understanding of the capabilities and limitations of both QELMs and QRCs.
  arXiv  Detail & Related papers  (2022-10-03T09:32:28Z)
• Detecting and Eliminating Quantum Noise of Quantum Measurements [3.871198861387443]
  We first detect and then eliminate quantum noise so that the classical noise assumption is satisfied. We demonstrate the feasibility of the two-stage procedure numerically on Baidu Quantum Platform. Remarkably, the results show that quantum noise in measurement devices is significantly suppressed, and the quantum accuracy is substantially improved.
  arXiv  Detail & Related papers  (2022-06-28T03:58:10Z)
• Circuit Symmetry Verification Mitigates Quantum-Domain Impairments [69.33243249411113]
  We propose circuit-oriented symmetry verification that are capable of verifying the commutativity of quantum circuits without the knowledge of the quantum state. In particular, we propose the Fourier-temporal stabilizer (STS) technique, which generalizes the conventional quantum-domain formalism to circuit-oriented stabilizers.
  arXiv  Detail & Related papers  (2021-12-27T21:15:35Z)
• Comparison of quantum state protection against decoherence via weak measurement, a survey [0.8594140167290097]
  We discuss weak measurement quantum measurement reversal (WMQMR), weak measurement-based quantum feedback control (QFBC) and quantum feed-forward control (QFFC) By considering weak measurement, the aim is to find a balance between information gain and disturbance of the system caused by the measurement.
  arXiv  Detail & Related papers  (2021-09-27T07:20:54Z)
• Experimental verification of fluctuation relations with a quantum computer [68.8204255655161]
  We use a quantum processor to experimentally validate a number of theoretical results in non-equilibrium quantum thermodynamics. Our experiments constitute the experimental basis for the understanding of the non-equilibrium energetics of quantum computation.
  arXiv  Detail & Related papers  (2021-06-08T14:16:12Z)
• Linear Ascending Metrological Algorithm [0.0]
  Recent advances in quantum devices and novel quantum algorithms utilizing interference effects are opening new routes for overcoming the detrimental noise tyranny. We devise the Linear Ascending Metrological Algorithm (LAMA) which offers a remarkable increase in precision in the demanding situation where a decohering quantum system is used to measure a continuously distributed variable. Our findings demonstrate a quantum-metrological procedure capable of mitigating detrimental dephasing and relaxation effects.
  arXiv  Detail & Related papers  (2021-03-24T12:40:43Z)
• Efficient and robust certification of genuine multipartite entanglement in noisy quantum error correction circuits [58.720142291102135]
  We introduce a conditional witnessing technique to certify genuine multipartite entanglement (GME) We prove that the detection of entanglement in a linear number of bipartitions by a number of measurements scales linearly, suffices to certify GME. We apply our method to the noisy readout of stabilizer operators of the distance-three topological color code and its flag-based fault-tolerant version.
  arXiv  Detail & Related papers  (2020-10-06T18:00:07Z)
• Systematic errors in direct state measurements with quantum controlled measurements [0.0]
  We use a quantum controlled measurement framework for measuring quantum states directly. We numerically investigate the systematic errors, evaluate the confidence region, and investigate the effect of experimental noise. Our analysis has important applications in direct quantum state tomography.
  arXiv  Detail & Related papers  (2020-02-18T01:40:30Z)
• Direct estimation of quantum coherence by collective measurements [54.97898890263183]
  We introduce a collective measurement scheme for estimating the amount of coherence in quantum states. Our scheme outperforms other estimation methods based on tomography or adaptive measurements. We show that our method is accessible with today's technology by implementing it experimentally with photons.
  arXiv  Detail & Related papers  (2020-01-06T03:50:42Z)

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.