Fundamental limits on concentrating and preserving tensorized quantum resources
arXiv:2104.12307 · doi:10.1103/PhysRevResearch.4.043070
Abstract
Quantum technology offers great advantages in many applications by exploiting quantum resources like nonclassicality, coherence, and entanglement. In practice, an environmental noise unavoidably affects a quantum system and it is thus an important issue to protect quantum resources from noise. In this work, we investigate the manipulation of quantum resources possessing the so-called tensorization property and identify the fundamental limitations on concentrating and preserving those quantum resources. We show that if a resource measure satisfies the tensorization property as well as the monotonicity, it is impossible to concentrate multiple noisy copies into a single better resource by free operations. Furthermore, we show that quantum resources cannot be better protected from channel noises by employing correlated input states on joint channels if the channel output resource exhibits the tensorization property. We address several practical resource measures where our theorems apply and manifest their physical meanings in quantum resource manipulation.
arXiv comment12 pages, 3 figures
References in corpus (49)
- Quantum entanglement
- Advances in Quantum Metrology
- Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
- Quantifying Coherence
- Quantum Communication
- Quantum Coherence as a Resource
- Secure Quantum Key Distribution
- Quantum Resource Theories
- Operational Resource Theory of Coherence
- Advances in Quantum Teleportation
- On the impossibility of distilling Gaussian states with Gaussian operations
- General Entanglement Breaking Channels
- The characterization of Gaussian operations and Distillation of Gaussian States
- The Resource Theory of Stabilizer Computation
- Gaussian transformations and distillation of entangled Gaussian states
- Application of a resource theory for magic states to fault-tolerant quantum computing
- The general structure of quantum resource theories
- Resource theory of quantum non-Gaussianity and Wigner negativity
- Entanglement Theory and the Second Law of Thermodynamics
- General Resource Theories in Quantum Mechanics and Beyond: Operational Characterization via Discrimination Tasks
- Convex resource theory of non-Gaussianity
- Nonclassicality as a Quantifiable Resource for Quantum Metrology
- How robust is a quantum gate in the presence of noise?
- Cohering and de-cohering power of quantum channels
- Quantum processes which do not use coherence
- One-shot coherence distillation
- Operational Resource Theory of Quantum Channels
- Gaussian quantum resource theories
- One-Shot Operational Quantum Resource Theory
- No-Go Theorems for Quantum Resource Purification
- Resource Theory of Coherence - Beyond States
- Operational resource theory of continuous-variable nonclassicality
- Probabilistic distillation of quantum coherence
- Resource theory of non-Gaussian operations
- Quantifying the Coherence Between Coherent States
- Nonclassical Light and Metrological Power: An Introductory Review
- Entanglement generation and Hamiltonian simulation in Continuous-Variable Systems
- Dynamical Resource Theory of Quantum Coherence
- A New Data Processing Inequality and Its Applications in Distributed Source and Channel Coding
- Generic bound coherence under strictly incoherent operations
- Operational Resource Theory of Nonclassicality via Quantum Metrology
- Monotone Measures for Non-Local Correlations
- Resource Preservability
- Process output nonclassicality and nonclassicality depth of quantum-optical channels
- Is nonclassicality-breaking the same thing as entanglement-breaking?
- Linear-optical processing cannot increase photon efficiency
- Quantum thermodynamics in a multipartite setting: A resource theory of local Gaussian work extraction for multimode bosonic systems
- Faithful measure of Quantum non-Gaussianity via quantum relative entropy
- Quantum-optical channels that output only classical states