High-Precision Observable Estimation with Single Qubit Quantum Memory

• URL: http://arxiv.org/abs/2308.16642v1
• Date: Thu, 31 Aug 2023 11:32:32 GMT
• Title: High-Precision Observable Estimation with Single Qubit Quantum Memory
• Authors: L.A. Markovich and J. Borregaard
• Abstract summary: The estimation of multi-qubit observables is a key task in quantum information science. Here, we describe a many-qubit observable estimation approach to achieve this with a much lower number of interactions between the multi-qubit device and the single qubit memory.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The estimation of multi-qubit observables is a key task in quantum information science. The standard approach is to decompose a multi-qubit observable into a weighted sum of Pauli strings. The observable can then be estimated from projective single qubit measurements according to the Pauli strings followed by a classical summation. As the number of Pauli strings in the decomposition increases, shot-noise drastically builds up, and the accuracy of such estimation can be considerably compromised. Access to a single qubit quantum memory, where measurement data may be stored and accumulated can circumvent the build-up of shot noise. Here, we describe a many-qubit observable estimation approach to achieve this with a much lower number of interactions between the multi-qubit device and the single qubit memory compared to previous approaches. Our algorithm offers a reduction in the required number of measurements for a given target variance that scales $N^{\frac{2}{3}}$ with the number of Pauli strings $N$ in the observable decomposition. The low number of interactions between the multi-qubit device and the memory is desirable for noisy intermediate-scale quantum devices.

Related papers

• Optimization for expectation value estimation with shallow quantum circuits [1.5733643545082079]
  Estimating linear properties of quantum states is a fundamental task in quantum information science. We propose a framework that optimize sample complexity for estimating the expectation value of any observable using a shallow parameterized quantum circuit. We numerically demonstrate the performance of our algorithm by estimating the ground energy of a sparse Hamiltonian and the inner product of two pure states.
  arXiv  Detail & Related papers  (2024-07-28T14:04:33Z)
• Realizing fracton order from long-range quantum entanglement in programmable Rydberg atom arrays [45.19832622389592]
  Storing quantum information requires battling quantum decoherence, which results in a loss of information over time. To achieve error-resistant quantum memory, one would like to store the information in a quantum superposition of degenerate states engineered in such a way that local sources of noise cannot change one state into another. We show that this platform also allows to detect and correct certain types of errors en route to the goal of true error-resistant quantum memory.
  arXiv  Detail & Related papers  (2024-07-08T12:46:08Z)
• A quantum implementation of high-order power method for estimating geometric entanglement of pure states [39.58317527488534]
  This work presents a quantum adaptation of the iterative higher-order power method for estimating the geometric measure of entanglement of multi-qubit pure states. It is executable on current (hybrid) quantum hardware and does not depend on quantum memory. We study the effect of noise on the algorithm using a simple theoretical model based on the standard depolarising channel.
  arXiv  Detail & Related papers  (2024-05-29T14:40:24Z)
• Power Characterization of Noisy Quantum Kernels [52.47151453259434]
  We show that noise may make quantum kernel methods to only have poor prediction capability, even when the generalization error is small. We provide a crucial warning to employ noisy quantum kernel methods for quantum computation.
  arXiv  Detail & Related papers  (2024-01-31T01:02:16Z)
• Quantum memory assisted observable estimation [0.40964539027092906]
  estimation of many-qubit observables is an essential task of quantum information processing. We introduce a novel method, dubbed Coherent Pauli Summation, that exploits access to a single-qubit quantum memory. Our work demonstrates how a single long-coherence qubit memory can assist the operation of noisy many-qubit quantum devices in a cardinal task.
  arXiv  Detail & Related papers  (2022-12-15T10:34:25Z)
• Suppressing Amplitude Damping in Trapped Ions: Discrete Weak Measurements for a Non-unitary Probabilistic Noise Filter [62.997667081978825]
  We introduce a low-overhead protocol to reverse this degradation. We present two trapped-ion schemes for the implementation of a non-unitary probabilistic filter against amplitude damping noise. This filter can be understood as a protocol for single-copy quasi-distillation.
  arXiv  Detail & Related papers  (2022-09-06T18:18:41Z)
• Dual-Frequency Quantum Phase Estimation Mitigates the Spectral Leakage of Quantum Algorithms [76.15799379604898]
  Quantum phase estimation suffers from spectral leakage when the reciprocal of the record length is not an integer multiple of the unknown phase. We propose a dual-frequency estimator, which approaches the Cramer-Rao bound, when multiple samples are available.
  arXiv  Detail & Related papers  (2022-01-23T17:20:34Z)
• Robust quantum classifier with minimal overhead [0.8057006406834467]
  Several quantum algorithms for binary classification based on the kernel method have been proposed. These algorithms rely on estimating an expectation value, which in turn requires an expensive quantum data encoding procedure to be repeated many times. We show that the kernel-based binary classification can be performed with a single-qubit measurement regardless of the number and the dimension of the data.
  arXiv  Detail & Related papers  (2021-04-16T14:51:00Z)
• Efficient estimation of Pauli observables by derandomization [4.157415305926584]
  We propose an efficient derandomization procedure that iteratively replaces random single-qubit measurements with fixed Pauli measurements. For estimating any $L$ low-weight Pauli observables, a deterministic measurement on only of order $log(L)$ copies of a quantum state suffices.
  arXiv  Detail & Related papers  (2021-03-12T20:09:57Z)
• Discrimination of Ohmic thermal baths by quantum dephasing probes [68.8204255655161]
  We evaluate the minimum error probability achievable by three different kinds of quantum probes, namely a qubit, a qutrit and a quantum register made of two qubits. A qutrit probe outperforms a qubit one in the discrimination task, whereas a register made of two qubits does not offer any advantage.
  arXiv  Detail & Related papers  (2020-08-06T08:51:51Z)
• Amplitude estimation via maximum likelihood on noisy quantum computer [3.5462326830737805]
  We give an experimental demonstration on a superconducting IBM Quantum device. We show that the proposed maximum likelihood estimator achieves quantum speedup in the number of queries.
  arXiv  Detail & Related papers  (2020-06-29T17:44:04Z)

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.