# Quantum Error Correction For Metrology

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### Lorenza Viola - Dartmouth College

Quantum Metrology in Complex Noise Environments Principal Investigator. 2019-23 National Science Foundation, EPSCoR USD 1,949,000 Harnessing the data revolution for the quantum leap: From quantum control to quantum materials. Senior Personnel. 2019-24 Department of Energy USD 750,000 Fundamental Algorithmic Research for Quantum Computing (FAR-QC)

### QUANTUM CONTROL, QUANTUM INFORMATION D. - NIST

bilities in terms of quantum computing protocols, but we have also applied the same concepts to improved metrology, particularly in the area of frequency standards and atomic clocks. Such work may eventually shed light on more fundamental issues, such as the quantum measurement problem. 1. Introduction

### Achieving the Heisenberg limit in quantum metrology using

noisy quantum computer to simulate faithfully an ideal quantum computer, with reasonable overhead cost, if the noise is not too strong or too strongly correlated. But the potential value of QEC in quantum metrology has not yet been fully ﬂeshed out, even as a matter of principle. A serious obstacle for applications of QEC to

### PHYSICAL REVIEW A100, 022312 (2019)

in fact the most general framework for quantum-error-correction-assisted quantum metrology considered thus far, with other scenarios existing as special cases of such strategies [21]. As such, in this article we will collectively refer to such strategies as quantum-error-correction-assisted quantum metrology (QECQM) schemes. In [22], it was

### Quantum Error Correction for Metrology - DASH Home

quantum metrology in the presence of noise. We identify the conditions under which QEC allows one to improve the signal-to-noise ratio in quantum-limited measurements, and we demonstrate

### Repeated Error Correction for Quantum Metrology

The objective of quantum metrology is to determine high precision estimates of unknown para- meters. Because entanglement allows one to create non-classical correlations between the quantum

### Implications of quantum information for measurement and standards

Implications of quantum information for measurement and standards Quantum metrology, some examples: enhanced quantum state measurement efficiency standards: - improved interferometry e.g., spectroscopy and atomic clocks - quantum information mapping

### Quantum circuit fusion in the presence of quantum noise on

the Heisenberg limit of quantum metrology. The proposal was implemented and experiments were performed using publicly available quantum computers of IBM Q. The experiments were conducted using variational quantum circuits in systems from 2 to 5 qubits and the exact copies of the experiments were performed on a simulator.

### Using metrological bounds in quantum error correction

Quantum Fisher information useful for bounding the variance via the quantum Cramer-Rao inequality. Quantum Fisher info for pure states is given by For a unitary evolution , time-energy uncertainty relation! Quantum metrology 11 '˜(i) unbiased estimator F ( 'i)=4 h ˙ ' ˙ 'i h ˙ ' 'i 2 2'˜ 1 F ti = eiHt i 2t˜ 1 42H

### Bosonic quantum error correction codes in superconducting

tum allcomputation, thequantum spacescommunication, orthogonalquantum eachsimulation, and quires quantum the metrology and are experimental presented ef- in past Sec. most 5 Finally, future

### A fibre bundle over manifolds of quantum channels and its

Mar 14, 2020 quantum channels, the symmetric logarithmic derivative (SLD) Fisher information [7 9]of the family (id ⊗ θ)(σ)˜ does not always take the maximum at a maximally entangled input σ˜ = σ˜ ME [6, 10]. The problem of ﬁnding an optimal estimation scheme for a given family of quantum channels is called a quantum channel identiﬁcation

### Cost function dependent barren plateaus in shallow

quantum algorithms (VQAs) 2. VQAs employ a quantum com-puter to ef ciently evaluate a cost function C , while a classical optimizer trains the parameters of a Parametrized Quantum Circuit (PQC) V ( ).

### Qubit Metrology of Ultralow Phase Noise Using Randomized

quantum-interference-device- (SQUID-)based qubit and show that this method determines that 1=f flux noise [1,14,15] is not currently a limiting factor in our device.

### Quantum Information - NIST

quantum register, however, may represent all of the digits 0 through 7 simultaneously. The real power of quantum logic and quantum information processing lies in the entanglement of the qubits, which permits an exponential increase in the information carrying capacity of systems based on quantum processing. That is, unlike classical

### Training Schrodinger's cat: Controlling the quantum

Training Schrodinger's cat: Controlling the quantum properties of light 8 July 2015, by Stuart Mason Dambrot Zeno cat. A Zeno cat refers to non-classical states of

### PAPER OPEN ACCESS Related content Efficient tools for quantum

Quantum metrology and the single channel methods. (a) General scheme for quantum-enhanced metrology with uncorrelated noise. The N particles within the probe in a quantum state ψN in evolve and decohere independently while sensing an unknown parameter ϕ(e.g. phase). An estimate

### Restoring Heisenberg scaling in noisy quantum metrology by

Dec 03, 2018 Quantum metrology is one of the most promising elds within the realm of quantum technologies, with appli- quantum error-correction protocols (or, more generally,

### Optimal approximate quantum error correction for quantum

answers an important question in quantum metrology theory, but also paves the way for identifying the optimal quantum strategies in future experiments. Quantumerrorcorrection(QEC)[47]wasﬁrstshowntobe useful in quantum metrology in a typical scenario where the dephasing noise in a qubit probe is corrected by QEC, while

### NIST QUANTUM PLANS

Foundational Quantum (Information) Science and Metrology Quantum many-body, state-of-the-art quantum limited measurements, quantum metrology at the highest level of accuracy, quantum algorithms, quantum information theory-Quantum Engineering: Measurement tools to engineer quantum materials, structures, and devices that will be the core

### Poster session II Tuesday, January 15, 3.30-5pm

Quantum metrology for quantum thermometry by single qubit de-phasing 387Victor V. Albert, Kyungjoo Noh and Florentin Reiter Robustness of continuous error-correction to miscalibration 388Vikesh Siddhu Superadditivity of coherent information for channels concatenated with an erasure channel and symmetric side channels.

### Letter - we build quantum hardware with superconducting circuits

quantum computation 3, and when realized within a network can have broad applications in quantum communication, metrology and simulations 1 ,2 7. Our results illustrate a compelling approach for implementing multi-qubit operations on logical qubits and, if integrated with quantum error-correction protocols, indicate a

### Fundamental Science (Fundamentals of Quantum Phenomena)

Quantum Sensors that open new horizons for discovery and detection of dark matter and/or understanding of dark energy, new ph ysics, and new interactions. Quantum communication techniques that advance the state of the art and address fundamental physics questions via simulating cosmic

### Qubit metrology for building a fault-tolerant quantum computer

Qubit metrology for building a fault-tolerant quantum computer npj Quantum Information (2015) 1, 15005; doi:10.1038/ npjqi.2015.5; published online 27 October 2015 Recent progress in quantum information has led to the start of several large national and industrial efforts to build a quantum computer. Researchers are now working to overcome many

### and Quantum Control

3) L. D. Tóth, Paradigms for Quantum Feedback Control, arXiv:1210.0360 4) D. Hemmer et al, Squeezing the angular momentum of an ensemble of complex multi-level atoms, arXiv:1811.02519 5) D. Hemmer, Spin Squeezing and Closed Loop Magnetometry with a Collective Spin, PhD Thesis, The University of Arizona, 2020

### A Layered Software Architecture for Quantum Computing Design

language source program representing a quantum algo-rithm onto a quantum device. By weighing different optimization and error-correction procedures at appro-priate phases of the design ﬂow, researchers, algorithm designers, and tool builders can trade off performance and accuracy. QUANTUM COMPUTATION The quantum circuit,1 a commonly used computa-

### WRAP Fault Tolerant Quantum Metrology Datta 2019

PHYSICAL REVIEW A100, 022335 (2019) Fault-tolerant quantum metrology Theodoros Kapourniotis and Animesh Datta Department of Physics, University of Warwick, Coventry CV4 7AL, England, United Kingdom

### QCMC [email protected] Poster Session 1 March 12, 2018

Quantum Eraser with Applications to Optical Quantum Information Processing of Polarization-Encoded Qubits 9 4 Lior Cohen, Yehuda Pilnyak, Daniel Istrati, Alex Retzker and Hagai Eisenberg Demonstration of a Bit-Flip Correction for Enhanced Sensitivity Measurements 11 5 Krzysztof Kaczmarek, Patrick Ledingham, Benjamin Brecht, Sarah

### Bound entangled singlet-like states for quantum metrology

review quantum metrology in linear interferometers and also deﬁne quantum Fisher information, a key quantity in quantum metrology. In Sec. IV, the ﬁrst family of (2d ×2d)-dimensional PPT states described in Ref. [8] is presented. We calculate the quantum Fisher information for this construc-tion. In Sec. V, we present the second

### Quantum technology: the second quantum revolution

These include quantum metrology, quantum control, quantum communication and quantum computation. (b)The tools of quantum technology Successful technologies are predicated on precise engineering, which in turn requires high-precision measurement. Quantum technology will thus require us to developaquantum metrology. It is well known

### Quantum Communications and Information Technology (QCIT 20)

information processing, which contribute to the general know-how of quantum technologies. The following topics are key to the workshop, but not exclusive: Quantum communications Entanglement distillation & swapping Quantum state discrimination Quantum sensing & metrology Quantum coding theory Homomorphic applications

### 5th International Conference on Quantum Error Correction (QEC19)

Tuesday 30 July 08:30 Registration Session 4 Chair: Isaac Kim, Stanford University, USA 09:00 (Invited) Good approximate quantum LDPC codes from spacetime circuit Hamiltonians

### Ancilla-Free Quantum Error Correction Codes for Quantum Metrology

quantum sensing without noiseless ancillas, and a corre- spondingmethodto constructoptimalQEC codes.We then present new explicit codes for two archetypal settings:

### Topics in Quantum Machine Learning

4 Quantum-enhanced ML is even more things AI supervised learning unsupervised learning online learning generative models reinforcement learning deep learning

### Quantum-enhanced interferometry for new physics

advances such as the experimental signatures of the quantum aspects of gravity [1] and multi-mode [2] quantum metrology to invent new routes for attacking open problems in fundamental physics. It will apply quantum metrology to physical systems such as atomic, optical, and opto-mechanical interferometers, and their performance in the real world.

### Optimal probes and error-correction schemes in - Quantum

Jul 02, 2020 Optimal probes and error-correction schemes in multi-parameter quantum metrology WojciechGórecki*1,SisiZhou*2,3,4,LiangJiang2,3,4,andRafałDemkowicz-Dobrzański1 1Faculty of Physics, University of Warsaw, Pasteura 5, 02-093 Warsaw, Poland 2Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut 06511, USA

### Heisenberg limited metrology using Quantum Error-CorrectionCodes

to enhance the signal-to-noise ratio of quantum detectors. Here we analyze the use of stabilizer quantum error-correction codes for the purpose of signal detection. We show that using quantum error-correction codes a small signal can be measured with Heisenberg limited uncertainty even in the presence of noise.

### 842 IEEE PHOTONICS TECHNOLOGY LETTERS, VOL. 21, NO. 13, JULY

distribution (QKD), quantum metrology, quantum lithography, and quantum communications [1]. Quantum information pro-cessing relies on fragile superposition states, which are sensi-tive to interactions with environment, resulting in decoherence. Decoherence introduces errors, and thus quantum information

### Quantum Algorithmic Readout in Multi-Ion Clocks

quantum nondemolition readout of the number of excited clock ions using a single multispecies gate operation which can also be used in other areas of ion trap technology such as quantum information processing, quantum simulations, metrology, and precision spectroscopy. Tremendous progress has recently been made in opti-cal frequency metrology

### Maximal success probabilities of linear-optical quantum gates

quantum-information processing due in large part to the seminal work of Knill, Laﬂamme, and Milburn KLM 1 These authors showed that an elementary quantum logic gate on qubits, encoded in photonic states, can be constructed using a combination of linear-optical elements and quantum measurement. The trade-off in this measurement-assisted

### A General Transfer-Function Approach to Noise Filtering in

Quantum chemistry and biology Quantum metrology, sensing and identification High-fidelity QIP, fault-tolerant QEC Engineering of novel quantum matter Goal: High-precision, robust control of realistic quantum-dynamical systems. Poudel, Ortiz & LV, Floquet Majorana flat bands, ArXiv:1412.2639