Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Time-Energy Uncertainty Relation for Noisy Quantum Metrology

Journal Article · · PRX Quantum

Not Available

Sponsoring Organization:
USDOE
OSTI ID:
2228764
Alternate ID(s):
OSTI ID: 2579781
Journal Information:
PRX Quantum, Journal Name: PRX Quantum Journal Issue: 4 Vol. 4; ISSN 2691-3399; ISSN PQRUAG
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (94)

Generalized Uncertainty Relations: Theory, Examples, and Lorentz Invariance journal April 1996
The Uncertainty Relation Between Energy and Time in Non-relativistic Quantum Mechanics book January 1991
Probabilistic and Statistical Aspects of Quantum Theory book May 2011
Quantum detection and estimation theory journal January 1969
Mathematical techniques for quantum communication theory journal October 1995
Attaining the Ultimate Precision Limit in Quantum State Estimation journal April 2019
Geometric distinguishability measures limit quantum channel estimation and discrimination journal February 2021
A note on covariant dynamical semigroups journal April 1993
Minimum mean-squared error of estimates in quantum statistics journal July 1967
Explicit computation of the Bures distance for density matrices journal March 1992
Fault-tolerant quantum computation by anyons journal January 2003
QuTiP: An open-source Python framework for the dynamics of open quantum systems journal August 2012
QuTiP 2: A Python framework for the dynamics of open quantum systems journal April 2013
Convex Optimization book January 2004
An optical lattice clock with accuracy and stability at the 10−18 level journal January 2014
The elusive Heisenberg limit in quantum-enhanced metrology journal January 2012
Advances in quantum metrology journal March 2011
The uncertainty principle in the presence of quantum memory journal July 2010
General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology journal March 2011
Achieving the Heisenberg limit in quantum metrology using quantum error correction journal January 2018
Tensor-network approach for quantum metrology in many-body quantum systems journal January 2020
A variational toolbox for quantum multi-parameter estimation journal June 2021
Quantum-enhanced sensing of a single-ion mechanical oscillator journal July 2019
An estimation theoretical characterization of coherent states journal September 1999
Quantum metrology with Dicke squeezed states journal October 2014
Bayesian quantum frequency estimation in presence of collective dephasing journal October 2014
Detecting metrologically useful entanglement in the vicinity of Dicke states journal August 2015
The quantum Allan variance journal August 2016
Maximal quantum Fisher information matrix journal June 2017
The quantum technologies roadmap: a European community view journal August 2018
Many-body effects in quantum metrology journal May 2019
Variational-state quantum metrology journal August 2020
Entropic time–energy uncertainty relations: an algebraic approach journal August 2020
Practical limits of error correction for quantum metrology journal April 2021
RLD Fisher information bound for multiparameter estimation of quantum channels journal July 2021
A fibre bundle over manifolds of quantum channels and its application to quantum statistics journal May 2008
Thermometry in the quantum regime: recent theoretical progress journal July 2019
On the discontinuity of the quantum Fisher information for quantum statistical models with parameter dependent rank journal December 2019
Uncertainty and trade-offs in quantum multiparameter estimation journal May 2020
Multi-parameter estimation beyond quantum Fisher information journal August 2020
Error Correction of Quantum Reference Frame Information journal February 2021
Asymptotic Theory of Quantum Channel Estimation journal March 2021
Time in the Quantum Theory and the Uncertainty Relation for Time and Energy journal June 1961
Continuity of the quantum Fisher information journal September 2019
Generalized measure of quantum Fisher information journal December 2021
Cryptographic approach to quantum metrology journal January 2022
Theory of quantum error-correcting codes journal February 1997
State estimation for large ensembles journal March 2000
Quantum error correction of observables journal October 2007
Data-processing inequalities for quantum metrology journal July 2014
Quantum metrology for a general Hamiltonian parameter journal August 2014
Permutation-invariant quantum codes journal December 2014
Optimized parameter estimation in the presence of collective phase noise journal November 2016
Discontinuities of the quantum Fisher information and the Bures metric journal May 2017
Quantum metrology with one-dimensional superradiant photonic states journal April 2019
Frequency Comparison of Two High-Accuracy Al + Optical Clocks journal February 2010
General Conditions for Approximate Quantum Error Correction and Near-Optimal Recovery Channels journal March 2010
Heisenberg-Limited Atom Clocks Based on Entangled Qubits journal May 2014
Using Entanglement Against Noise in Quantum Metrology journal December 2014
Observation of Gravitational Waves from a Binary Black Hole Merger journal February 2016
Ultimate Precision Limits for Noisy Frequency Estimation journal March 2016
Universally Fisher-Symmetric Informationally Complete Measurements journal January 2018
Ancilla-Free Quantum Error Correction Codes for Quantum Metrology journal January 2019
Entropic Energy-Time Uncertainty Relation journal March 2019
Quantum Error Correcting Codes in Eigenstates of Translation-Invariant Spin Chains journal September 2019
Evaluating the Holevo Cramér-Rao Bound for Multiparameter Quantum Metrology journal November 2019
Using Quantum Metrological Bounds in Quantum Error Correction: A Simple Proof of the Approximate Eastin-Knill Theorem journal April 2021
Bias in Error-Corrected Quantum Sensing journal April 2022
Statistical distance and the geometry of quantum states journal May 1994
Error Correcting Codes in Quantum Theory journal July 1996
Improvement of Frequency Standards with Quantum Entanglement journal November 1997
Optimal Quantum Clocks journal March 1999
Generalization of Quantum Error Correction via the Heisenberg Picture journal March 2007
Local and Global Distinguishability in Quantum Interferometry journal August 2007
Optimal approximate quantum error correction for quantum metrology journal March 2020
Optimal universal quantum error correction via bounded reference frames journal May 2022
Quantum Metrology with Strongly Interacting Spin Systems journal July 2020
Continuous Symmetries and Approximate Quantum Error Correction journal October 2020
Tight Bounds on the Simultaneous Estimation of Incompatible Parameters journal February 2021
Does Nonlinear Metrology Offer Improved Resolution? Answers from Quantum Information Theory journal October 2012
Adaptive Quantum Metrology under General Markovian Noise journal October 2017
Stabilized Cat in a Driven Nonlinear Cavity: A Fault-Tolerant Error Syndrome Detector journal October 2019
Entropic uncertainty relations and their applications journal February 2017
Quantum sensing journal July 2017
Lower Bounds for Quantum Parameter Estimation journal December 2014
Robust Quantum Metrology With Explicit Symmetric States journal March 2022
A Decoupling Approach to the Quantum Capacity journal March 2008
Solution of the matrix equation AX + XB = C [F4] journal September 1972
Quantum metrology with full and fast quantum control journal September 2017
Continuous groups of transversal gates for quantum error correcting codes from finite clock reference frames journal March 2020
Optimal probes and error-correction schemes in multi-parameter quantum metrology journal July 2020
New perspectives on covariant quantum error correction journal August 2021
Matrix product state representations journal July 2007
journal January 2009

Similar Records

Interplay Between Time and Energy in Bosonic Noisy Quantum Metrology
Journal Article · Fri Jun 13 00:00:00 EDT 2025 · PRX Quantum · OSTI ID:2497828

TIME IN THE QUANTUM THEORY AND THE UNCERTAINTY RELATION FOR TIME AND ENERGY
Journal Article · Thu Jun 01 00:00:00 EDT 1961 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D · OSTI ID:4092059

Related Subjects