Teleportation of quantum coherence
arXiv:2302.11499 · doi:10.1103/PhysRevA.108.042620
Abstract
We investigate whether it is possible to teleport the coherence of an unknown quantum state from Alice to Bob by communicating a lesser number of classical bits in comparison to what is required for teleporting an unknown quantum state. We find that we cannot achieve perfect teleportation of coherence with one bit of classical communication for an arbitrary qubit. However, we find that if the qubit is partially known, i.e., chosen from the equatorial and polar circles of the Bloch sphere, then teleportation of coherence is possible with the transfer of one cbit of information when we have maximally entangled states as a shared resource. In the case of the resource being a non-maximally entangled state, we can teleport the coherence with a certain probability of success. In a general teleportation protocol for coherence, we derive a compact formula for the final state at Bob's lab in terms of the composition of the completely positive maps corresponding to the shared resource state and joint POVM performed by Alice on her qubit and the unknown state. Using this formula, we show that teleportation of the coherence of a partially known state with real matrix elements is possible perfectly with the help of a maximally entangled state as a resource. Furthermore, we explore the teleportation of coherence with the Werner states and show that even when the Werner states become separable, the amount of teleported coherence is non-zero, implying the possibility of teleportation of coherence without entanglement.
arXiv comment10 pages, no figures
References in corpus (75)
- Quantum entanglement
- Experimental quantum teleportation
- Advances in Quantum Metrology
- Quantifying Coherence
- Quantum metrology
- Quantum Coherence as a Resource
- Operational Resource Theory of Coherence
- Measuring Quantum Coherence with Entanglement
- Quantum teleportation between light and matter
- Reference frames, superselection rules, and quantum information
- Remote State Preparation
- Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
- Quantum teleportation using active feed-forward between two Canary Islands
- Minimum cbits for remote preperation and measurement of a qubit
- Unconditional quantum teleportation between distant solid-state qubits
- Quantum Teleportation Between Distant Matter Qubits
- Quantum teleportation and entanglement distribution over 100-kilometre free-space channels
- Complete quantum teleportation using nuclear magnetic resonance
- Quantum enhanced positioning and clock synchronization
- Quantum coherence, time-translation symmetry and thermodynamics
- Quantum Metrology for Gravitational Wave Astronomy
- How to quantify coherence: Distinguishing speakable and unspeakable notions
- Experimental investigation of continuous variable quantum teleportation
- A computable measure of nonclassicality for light
- Efficiency of energy transfer in a light-harvesting system under quantum coherence
- The extraction of work from quantum coherence
- Towards fully quantum second laws of thermodynamics: limitations on the evolution of quantum coherences
- Realization of Deterministic Quantum Teleportation with Solid State Qubits
- Quantum teleportation from a telecom-wavelength photon to a solid-state quantum memory
- Deterministic quantum teleportation of photonic quantum bits by a hybrid technique
- Teleportation, Bell's Inequalities and Inseparability
- Quantum teleportation of light beams
- Duality of Quantum Coherence and Path Distinguishability
- Efficient Teleportation between Remote Single-Atom Quantum Memories
- Maximally entangled mixed states of two qubits
- High-fidelity teleportation beyond the no-cloning limit and entanglement swapping for continuous variables
- Teleportation of Nonclassical Wave Packets of light
- Memory-built-in quantum teleportation with photonic and atomic qubits
- Maximally entangled mixed states in two qubits
- Max- relative entropy of coherence: an operational coherence measure
- Deterministic quantum teleportation between distant atomic objects
- Coherence depletion in the Grover quantum search algorithm
- Probabilistic Quantum Teleportation
- Quantum Teleportation from a Propagating Photon to a Solid-State Spin Qubit
- Coherence-assisted single-shot cooling by quantum absorption refrigerators
- Measuring Coherence with Entanglement Concurrence
- Operational one-to-one mapping between coherence and entanglement measures
- Entanglement and coherence in quantum state merging
- A resource theory of superposition
- Quantum complex networks
- Stable Three-Axis Nuclear Spin Gyroscope in Diamond
- Complex Networks from Classical to Quantum
- Quantum teleportation between remote atomic-ensemble quantum memories
- Experimental demonstration of quantum teleportation of a squeezed state
- Structure of the resource theory of quantum coherence
- Small quantum absorption refrigerator in the transient regime: time scales, enhanced cooling and entanglement
- Experimental demonstration of quantum teleportation of broadband squeezing
- High-fidelity continuous-variable quantum teleportation toward multi-step quantum operations
- Quantum coherence and sensitivity of avian magnetoreception
- Could light harvesting complexes exhibit non-classical effects at room temperature?
- Entanglement witness operator for quantum teleportation
- Quantum teleportation with atoms: quantum process tomography
- Axiomatic and operational connections between the -norm of coherence and negativity
- Coherence number as a discrete quantum resource
- Experimental demonstration of wave-particle duality relation based on coherence measure
- Teleportation via a mixture of a two qubit subsystem of a N-qubit W and GHZ state
- Broadcasting Quantum Coherence via Cloning
- Broadcasting of Quantum Correlations: Possibilities & Impossibilities
- Wave-particle duality employing quantum coherence in superposition with non-orthogonal pointers
- Quantum Cloning, Bell's Inequality and Teleportation
- Impossibility of Cloning of Quantum Coherence
- Asymmetric broadcasting of quantum correlations
- Broadcasting of quantum correlations in qubit-qudit systems
- Broadcasting of correlations via orthogonal & non-orthogonal state dependent cloners
- Quantum no-go theorems in causality respecting systems in presence of closed timelike curves: Tweaking the Deutsch condition
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