Experimental investigation of the uncertainty principle in the presence of quantum memory

Abstract

Heisenberg's uncertainty principle provides a fundamental limitation on an observer's ability to simultaneously predict the outcome when one of two measurements is performed on a quantum system. However, if the observer has access to a particle (stored in a quantum memory) which is entangled with the system, his uncertainty is generally reduced. This effect has recently been quantified by Berta et al. [Nature Physics 6, 659 (2010)] in a new, more general uncertainty relation, formulated in terms of entropies. Using entangled photon pairs, an optical delay line serving as a quantum memory and fast, active feed-forward we experimentally probe the validity of this new relation. The behaviour we find agrees with the predictions of quantum theory and satisfies the new uncertainty relation. In particular, we find lower uncertainties about the measurement outcomes than would be possible without the entangled particle. This shows not only that the reduction in uncertainty enabled by entanglement can be significant in practice, but also demonstrates the use of the inequality to witness entanglement.

8 pages, 4 figures, comments welcome

References in corpus (7)

• Entanglement detection
• The Uncertainty Principle in the Presence of Quantum Memory
• A wavelength-tunable fiber-coupled source of narrowband entangled photons
• High-speed linear optics quantum computing using active feed-forward
• Conjectured Strong Complementary Information Tradeoff
• Experimental investigation of the entanglement-assisted entropic uncertainty principle
• Cluster-state quantum computing enhanced by high-fidelity generalized measurements

Cited by in corpus (99)

• Entropic Uncertainty Relations and their Applications
• Violation of Heisenberg's Measurement-Disturbance Relationship by Weak Measurements
• Experimental investigation of the entanglement-assisted entropic uncertainty principle
• Improved entropic uncertainty relations and information exclusion relations
• Uncertainty relations from simple entropic properties
• Quantum-memory-assisted entropic uncertainty principle, teleportation and entanglement witness in structured reservoirs
• The effects of mixedness and entanglement on the properties of the entropic uncertainty in Heisenberg model with Dzyaloshinski-Moriya interaction
• Quantum discord and classical correlation can tighten the uncertainty principle in the presence of quantum memory
• Tightening the entropic uncertainty bound in the presence of quantum memory
• Entropic uncertainty relations for multiple measurements
• Competitions between quantum correlations in the quantum-memory-assisted entropic uncertainty relation
• Improved tripartite uncertainty relation with quantum memory
• Upper bound and shareability of quantum discord based on entropic uncertainty relations
• Quantum-memory-assisted entropic uncertainty principle under noise
• Experimental demonstration of the Einstein-Podolsky-Rosen steering game based on the All-Versus-Nothing proof
• Fine-grained EPR-steering inequalities
• Entanglement sampling and applications
• Quantum-memory-assisted entropic uncertainty relations
• Experimental device-independent verification of quantum steering
• Pulsed Sagnac polarization-entangled photon source with a PPKTP crystal at telecom wavelength
• Nonlocal advantage of quantum coherence in high-dimensional states
• Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir
• Fine-grained lower limit of entropic uncertainty in the presence of quantum memory
• Optimized entropic uncertainty relations for multiple measurements
• Full analysis of multi-photon pair effects in spontaneous parametric down conversion based photonic quantum information processing
• An equality between entanglement and uncertainty
• CW-pumped telecom band polarization entangled photon pair generation in a Sagnac interferometer
• Experimental investigation of the stronger uncertainty relations for all incompatible observables
• Effects of Hawking radiation on the entropic uncertainty in a Schwarzschild space-time
• The quantum entropic uncertainty relation and entanglement witness in the two-atom system coupling with the non-Markovian environments
• Rényi entropy uncertainty relation for successive projective measurements
• Holevo Bound of Entropic Uncertainty in Schwarzschild Spacetime
• Experimental entanglement-enhanced work extraction based on a Maxwell's demon
• Uncertainty relation in Schwarzschild spacetime
• Entropic uncertainty relations under the relativistic motion
• Lower bound of quantum uncertainty from extractable classical information
• Weak Measurement of Superconducting Qubit Reconciles Incompatible Operators
• Experimental investigation of entropic uncertainty relations and coherence uncertainty relations
• Reducing the entropic uncertainty lower bound in the presence of quantum memory via local operation and classical communication
• Entropic uncertainty relations in Schwarzschild space-time
• Pure State Tomography with Pauli Measurements
• Controlling entropic uncertainty bound through memory effects
• Quantum memories and error correction
• State-Dependent Approach to Entropic Measurement-Disturbance Relations
• Optimal linear optical implementation of a single-qubit damping channel
• Entropic uncertainty relation in de Sitter space
• Separability criteria via sets of mutually unbiased measurements
• General Relativistic Wormhole Connections from Planck-Scales and the ER = EPR Conjecture
• Quantum-memory-assisted entropic uncertainty relation with a single nitrogen-vacancy center in diamond
• Sequential sharing of two-qudit entanglement based on the entropic uncertainty relation
• Controlling the entropic uncertainty lower bound in two-qubit systems under the decoherence
• Entropic uncertainty relations with quantum memory in a multipartite scenario
• Entropic uncertainty relation in Garfinkle-Horowitz-Strominger dilation black hole
• Bell inequalities violation within non-Bunch-Davies states
• Towards practical device-independent quantum key distribution with spontaneous parametric downconversion sources, on-off photodetectors and entanglement swapping
• Quantum Side Information: Uncertainty Relations, Extractors, Channel Simulations
• Detecting non-Markovianity via uncertainty relations
• Collapse of the quantum correlation hierarchy links entropic uncertainty to entanglement creation
• Entropic uncertainty relations and the stabilizer formalism
• Incompatibility of Observables as State-Independent Bound of Uncertainty Relations
• Holevo bound of entropic uncertainty relation under Unruh channel in the context of open quantum systems
• Multipartite entanglement detection based on generalized state-dependent entropic uncertainty relation for multiple measurements
• Conditional entropic uncertainty relations for Tsallis entropies
• Entanglement witness and entropy uncertainty of open Quantum systems under Zeno effect
• Experimental investigation of uncertainty relations for non-Hermitian operators
• Direct Experimental Test of Forward and Reverse Uncertainty Relations
• Uncertainty relation based on Wigner-Yanase-Dyson skew information with quantum memory
• Zero Uncertainty States in the Presence of Quantum Memory
• Entanglement and entropy uncertainty in black hole quantum atmosphere
• Entropic uncertainty relations and quantum Fisher information of top quarks in a large hadron collider
• Optimal upper bound of entropic uncertainty relation for mutually unbiased bases
• Inferred-variance uncertainty relations in the presence of quantum entanglement
• Experimental investigation of quantum uncertainty relations with classical shadows
• Structured position-momentum entangled two-photon fields
• Tightening the entropic uncertainty relations with quantum memory in a multipartite scenario
• Memory effects in a sequence of measurements of non-commuting observables
• Entanglement-assisted authenticated BB84 protocol
• Multiparticle Entanglement Resolution Analyzer based on Quantum-Control-Assisted Uncertainty Relation
• The reduction of entropy uncertainty for qutrit system under non-Markov noisy environment
• Strong Majorization Uncertainty Relations: Theory and Experiment
• The effects of different quantum feedback types on the tightness of the variance-based uncertainty
• Experimental investigation of majorization uncertainty relations in the high-dimensional systems
• Quantum Uncertainty and Entropy
• Entropic uncertainty under indefinite causal order and input-output direction
• Error-mitigated inference of quantum network topology
• Entropic Uncertainty Principle and Information Exclusion Principle for multiple measurements in the presence of quantum memory
• Experimental testing of entropic uncertainty relations with multiple measurements in pure diamond
• Probe of Generic Quantum Contextuality and Nonlocal Resources for Qubits
• Uncertainty, von Neumann Entropy, and Squeezing in a Bipartite State of Two-Level Atoms
• The dynamics of entropy uncertainty for qutrit system under the random telegraph noise
• Uncertainty principle certifies genuine source of intrinsic randomness
• Observing tight triple uncertainty relations in two-qubit systems
• Quantum dimension test using the uncertainty principle
• The Diminished Quantum Uncertainty in Multipartite Entanglement
• Uncertainty relations for any multi observables
• Variance-based uncertainty relation for incompatible observers
• Uncertainty conservation relations: theory and experiment
• Quantum Uncertainty Dynamics
• Tighter entropic uncertainty relations in the presence of quantum memories for complete sets of mutually unbiased bases