Operationally Invariant Information in Quantum Measurements
arXiv:quant-ph/0005084 · doi:10.1103/PhysRevLett.83.3354
Abstract
A new measure of information in quantum mechanics is proposed which takes into account that for quantum systems the only feature known before an experiment is performed are the probabilities for various events to occur. The sum of the individual measures of information for mutually complementary observations is invariant under the choice of the particular set of complementary observations and conserved if there is no information exchange with an environment. That operational quantum information invariant results in N bits of information for a system consisting of N qubits.
4 pages, 1 figure
References in corpus (2)
Cited by in corpus (117)
- The classical-quantum boundary for correlations: discord and related measures
- On mutually unbiased bases
- Entropic Uncertainty Relations and their Applications
- Quantum Mechanics as Quantum Information (and only a little more)
- Partial Teleportation of Entanglement in the Noisy Environment
- Quantum-coherence quantifiers based on the Tsallis relative -entropies
- Magnetic Susceptibility as a Macrosopic Entaglement Witness
- Conceptual Inadequacy of the Shannon Information in Quantum Measurements
- Mutually unbiased binary observable sets on N qubits
- Reconstruction of Gaussian quantum mechanics from Liouville mechanics with an epistemic restriction
- Universal unitary gate for single-photon 2-qubit states
- Quantum theory from questions
- On the structure of the sets of mutually unbiased bases for N qubits
- The mean king's problem: Prime degrees of freedom
- Information Invariance and Quantum Probabilities
- Origin of Complex Quantum Amplitudes and Feynman's Rules
- Optimal Control of Quantum Dissipative Dynamics: Analytic solution for cooling the three level system
- Generalized non-additive entropies and quantum entanglement
- Complex joint probabilities as expressions of determinism in quantum mechanics
- An equality between entanglement and uncertainty
- CHSH inequality: Quantum probabilities as classical conditional probabilities
- Generalized entropic criterion for separability
- Distance-based degrees of polarization for a quantum field
- Operationally Invariant Measure of the Distance between Quantum States by Complementary Measurements
- Quantum Information Biology: from information interpretation of quantum mechanics to applications in molecular biology and cognitive psychology
- An Information-Geometric Reconstruction of Quantum Theory, I: The Abstract Quantum Formalism
- Information-reality complementarity: The role of measurements and quantum reference frames
- Frobenius-norm-based measures of quantum coherence and asymmetry
- On the Origin of Entropic Gravity and Inertia
- From Information Geometry to Quantum Theory
- Separability of entangled q-bit pairs
- On the Role of Information Theoretic Uncertainty Relations in Quantum Theory
- Toolbox for reconstructing quantum theory from rules on information acquisition
- Young's experiment and the finiteness of information
- Multi-partite entanglement and quantum phase transition in the one-, two-, and three-dimensional transverse field Ising model
- Invariant information and quantum state estimation
- A model of adaptive decision making from representation of information environment by quantum fields
- On Interferometric Duality in Multibeam Experiments
- An uncertainty view on complementarity and a complementarity view on uncertainty
- Information gain in tomography - A quantum signature of chaos
- Quantum Entanglement and Entropy
- Quantum theory from rules on information acquisition
- Entropic uncertainty relations from equiangular tight frames and their applications
- Foundations of quantum theory and quantum information applications
- Contradictory uncertainty relations
- Simultaneous minimum-uncertainty measurement of discrete-valued complementary observables
- Dynamics of Global Entanglement under Decoherence
- Quantum mechanics emerges from information theory applied to causal horizons
- A toy model for quantum mechanics
- Hardy's paradox as a demonstration of quantum irrealism
- Channel kets, entangled states, and the location of quantum information
- Complementarity and Information in "Delayed-choice for entanglement swapping"
- Information and Entropy in Quantum Theory
- Alternative measures of uncertainty in quantum metrology: Contradictions and limits
- Characterizing Temporal Distinguishability of an N-Photon State by Generalized Photon Bunching Effect with Multi-Photon Interference
- Correlation-induced coherence and its use in detecting quantum phase transitions
- Quantum Non-Objectivity from Performativity of Quantum Phenomena
- On the Brukner-Zeilinger approach to information in quantum measurements
- Quantifying continuous-variable realism
- Operational quasiprobabilities for qudits
- Quantum Side Information: Uncertainty Relations, Extractors, Channel Simulations
- Tomographic and Lie algebraic significance of generalized symmetric informationally complete measurements
- The Relativity Principle at the Foundation of Quantum Mechanics
- Derivation of Quantum Theory from Feynman's Rules
- Separability conditions based on local fine-grained uncertainty relations
- Logical Entropy for Quantum States
- Relational Quantum Mechanics and Probability
- Enhancing robustness of multiparty quantum correlations using weak measurement
- Maximally polarized states for quantum light fields
- Characterizing and Quantifying Quantum Chaos with Quantum Tomography
- External observer reflections on QBism
- Total variance and invariant information in complementary measurements
- Quantum music, quantum arts and their perception
- Fidelity, entanglement, and information complementarity relation
- Information-disturbance trade-off in generalized entanglement swapping
- Quantum logical entropy: fundamentals and general properties
- Entropic uncertainty relations for multiple measurements assigned with biased weights
- Quantum randomness is chimeric
- Contribution to understanding the mathematical structure of quantum mechanics
- A precise bare simulation approach to the minimization of some distances. Foundations
- Information and The Brukner-Zeilinger Interpretation of Quantum Mechanics: A Critical Investigation
- Invariant information and complementarity in high-dimensional states
- Entanglement measurement based on two-particle interference
- Information-Probabilistic description of the Universe
- Compatible Quantum Theory
- Real or Not Real that is the question
- Information complementarity in quantum physics
- Certainty relations between local and nonlocal observables
- Quantum Mechanics Based on an Extended Least Action Principle and Information Metrics of Vacuum Fluctuations
- On the solution of trivalent decision problems by quantum state identification
- Quantum Scalar Field Theory Based on the Extended Least Action Principle
- Logical Entropy and Negative Probabilities in Quantum Mechanics
- Quantum Theory as Efficient Representation of Probabilistic Information
- An Information-Theoretic Approach to Quantum Theory, I: The Abstract Quantum Formalism
- Quantum causality relations and the emergence of reality from coherent superpositions
- What is quantum mechanics? A minimal formulation
- What does the operator algebra of quantum statistics tell us about the objective causes of observable effects?
- Preservation of quantum coherence under Lorentz boost for narrow uncertainty wave packets
- Reflections on Zeilinger-Brukner information interpretation of quantum mechanics
- General framework of quantum complementarity from a measurement-based perspective
- Twist and teleportation analogy of the black hole final state
- Relating measurement disturbance, information and orthogonality
- The conception of reality in Quantum Mechanics
- Commuting multiparty quantum observables and local compatibility
- Individual attacks with generalized discrimination and inadequacy of some information measures
- Spin Theory Based on the Extended Least Action Principle and Information Metrics: Quantization, Entanglement, and Bell Test With Time Delay
- Decoherence, fluctuations and Wigner function in neutron optics
- On a Supposed Conceptual Inadequacy of the Shannon Information in Quantum Mechanics
- Energy-Information Coupling From Classical To Quantum
- An Information-Theoretic Approach to Quantum Theory, II: The Formal Rules of Quantum Theory
- A Theory of Inaccessible Information
- Nonseparability, Potentiality and the Context-Dependence of Quantum Objects
- Controlling and measuring a superposition of position and momentum
- Alternative Framework to Quantize Fermionic Fields
- Invariants of Elementary Observations
- Uncertainty conservation relations: theory and experiment
- Uncertainty-disturbance relations and applications