Improving quantum channel discrimination with resourceful states
arXiv:2501.09205 · doi:10.1103/fw4d-3t9j
Abstract
One of the key issues in quantum discrimination problems is understanding the extent of the advantages in discrimination performance when using resource states compared to resourceless states. We show that in any resource theory of states, which may not be convex, the extent to which the maximum average success probability can be improved in quantum channel discrimination problems without using auxiliary systems can be precisely quantified by the robustness measure. This result offers an intuitive operational meaning of the robustness measure in any convex resource theory. Furthermore, we demonstrate that the robustness measure can also quantify the improvement in channel discrimination problems that use auxiliary systems. Using these findings, resources can be fully characterized to achieve higher success probabilities than any state without the given resource in channel discrimination problems.
References in corpus (54)
- Quantum Cryptography
- Mixed State Entanglement and Quantum Error Correction
- A computable measure of entanglement
- Quantum sensing
- Entanglement of a Pair of Quantum Bits
- Quantifying Coherence
- Quantum Coherence as a Resource
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- The logarithmic negativity: A full entanglement monotone that is not convex
- Operational Resource Theory of Coherence
- The Resource Theory of Quantum States Out of Thermal Equilibrium
- Robustness of coherence: An operational and observable measure of quantum coherence
- The Resource Theory of Stabilizer Computation
- Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
- The resource theory of quantum reference frames: manipulations and monotones
- A Schmidt number for density matrices
- Application of a resource theory for magic states to fault-tolerant quantum computing
- The resource theory of informational nonequilibrium in thermodynamics
- How to quantify coherence: Distinguishing speakable and unspeakable notions
- Statistical distinguishability between unitary operations
- Robustness of asymmetry and coherence of quantum states
- Resource theory of quantum non-Gaussianity and Wigner negativity
- Max- relative entropy of coherence: an operational coherence measure
- Quantifying the non-Gaussian character of a quantum state by quantum relative entropy
- General Resource Theories in Quantum Mechanics and Beyond: Operational Characterization via Discrimination Tasks
- Optimal discrimination of quantum operations
- Convex resource theory of non-Gaussianity
- Operational Resource Theory of Imaginarity
- The resource theory of steering
- All entangled states are useful for channel discrimination
- A resource theory of superposition
- Quantifying quantum resources with conic programming
- Entanglement can enhance the distinguishability of entanglement-breaking channels
- Operational Advantage of Quantum Resources in Subchannel Discrimination
- All sets of incompatible measurements give an advantage in quantum state discrimination
- Fundamental limits to quantum channel discrimination
- Ultimate Precision of Adaptive Noise Estimation
- Quantum Incompatibility Witnesses
- Convex geometry of quantum resource quantification
- Robustness of Measurement, discrimination games and accessible information
- Application of the Resource Theory of Channels to Communication Scenarios
- Quantifying the resource content of quantum channels: An operational approach
- State discrimination with post-measurement information and incompatibility of quantum measurements
- More entanglement implies higher performance in tailored channel discrimination tasks
- Operational quantification of continuous-variable quantum resources
- Revealing of hidden quantum steerability using local filtering operations
- Framework for resource quantification in infinite-dimensional general probabilistic theories
- Strategies for optimal single-shot discrimination of quantum measurements
- Optimal networks for Quantum Metrology: semidefinite programs and product rules
- Entanglement in channel discrimination with restricted measurements
- Optimal single shot strategies for discrimination of quantum measurements
- Every quantum helps: Operational advantage of quantum resources beyond convexity
- Optimal discrimination between quantum operations
- Simple upper and lower bounds on the ultimate success probability for discriminating arbitrary finite-dimensional quantum processes