Path superposition activating perfect quantum teleportation ability for separable states
arXiv:2505.11398 · doi:10.1103/h84v-n7xv
Abstract
Quantum teleportation is a quintessential quantum communication protocol that enables the transmission of an arbitrary quantum state between two distant parties without physically transmitting the state with the help of shared entanglement and limited classical communication. We show that it is possible to relax the entanglement requirement in quantum teleportation if we have access to a certain strain of superposition of quantum processes. Two types of superposition of quantum processes are generally considered in the literature: superposition of paths identified with quantum maps and superposition of indefinite causal orders of the maps. We find that when superposition of paths is incorporated in the protocol, quantum teleportation with unit fidelity becomes possible with nonzero probability of 1/4 even when the two parties share certain classes of separable states, including pure product states. In contrast, the assistance of superposition of indefinite causal order of quantum maps in teleportation protocol does not enable any quantum advantage for shared pure product states. Furthermore, we show that separable Werner states can also yield quantum advantage in quantum teleportation assisted by the superposition of paths. Finally, we establish that the presence of quantum coherence in the control qubit is both necessary and sufficient to achieve quantum advantage in quantum teleportation assisted with superposition of paths. The results potentially uncover yet another role of quantum superposition, in general, in teleportation versus entanglement.
19 pages, 5 figures, published version
References in corpus (66)
- Quantum entanglement
- Experimental quantum teleportation
- Quantifying Coherence
- Quantum Coherence as a Resource
- Quantum Resource Theories
- Operational Resource Theory of Coherence
- Advances in Quantum Teleportation
- Fundamental limitations for quantum and nano thermodynamics
- Quantum correlations with no causal order
- Distance measures to compare real and ideal quantum processes
- The Resource Theory of Quantum States Out of Thermal Equilibrium
- Unconditional quantum teleportation between distant solid-state qubits
- Quantum computations without definite causal structure
- The Resource Theory of Stabilizer Computation
- Positive Wigner functions render classical simulation of quantum computation efficient
- The resource theory of quantum reference frames: manipulations and monotones
- The thermodynamic meaning of negative entropy
- Quantum teleportation in high dimensions
- Work extraction and thermodynamics for individual quantum systems
- Negative Quasi-Probability as a Resource for Quantum Computation
- The resource theory of informational nonequilibrium in thermodynamics
- Experimental Superposition of Orders of Quantum Gates
- Realization of Deterministic Quantum Teleportation with Solid State Qubits
- Quantum teleportation from a telecom-wavelength photon to a solid-state quantum memory
- Quantum coherence and geometric quantum discord
- Experimental Verification of an Indefinite Causal Order
- Teleportation as a Depolarizing Quantum Channel, Relative Entropy and Classical Capacity
- Enhanced communication with the assistance of indefinite causal order
- Perfect discrimination of no-signalling channels via quantum superposition of causal structures
- Indefinite Causal Order in a Quantum Switch
- Measuring the quality of a quantum reference frame: the relative entropy of frameness
- Reversible transformations from pure to mixed states, and the unique measure of information
- Experimental Quantum Teleportation of a Two-Qubit Composite System
- The theory of manipulations of pure state asymmetry: basic tools and equivalence classes of states under symmetric operations
- Quantum Teleportation from a Propagating Photon to a Solid-State Spin Qubit
- The work value of information
- Quantum Metrology with Indefinite Causal Order
- Introduction to Haar Measure Tools in Quantum Information: A Beginner's Tutorial
- Quantum Refrigeration with Indefinite Causal Order
- Indefinite causal order enables perfect quantum communication with zero capacity channels
- Quantum Shannon theory with superpositions of trajectories
- Approaches for approximate additivity of the Holevo information of quantum channels
- Quantum Switch for the Quantum Internet: Noiseless Communications through Noisy Channels
- High-dimensional quantum teleportation under noisy environments
- Experimental Quantum Communication Enhancement by Superposing Trajectories
- Communication through coherent control of quantum channels
- Asymmetry and coherence weight of quantum states
- Computation by measurements: a unifying picture
- Teleportation-based realization of an optical quantum two-qubit entangling gate
- Thermodynamic work from operational principles
- Interference of Quantum Channels
- Thermodynamic advancement in the causally inseparable occurrence of thermal maps
- Qudit-Teleportation for photons with linear optics
- Experimental entanglement of temporal order
- Experimental Aspects of Indefinite Causal Order in Quantum Mechanics
- Thermal devices powered by generalized measurements with indefinite causal order
- Superposition of causal order enables perfect quantum teleportation with very noisy singlets
- Resources of the Quantum World
- Interferometric Approach to Open Quantum Systems and Non-Markovian Dynamics
- Efficient quantum gate teleportation in higher dimensions
- Experimental superposition of time directions
- Space-time dual quantum Zeno effect: Interferometric engineering of open quantum system dynamics
- Featuring causal order in teleportation of two quantum teleportation channels
- Anomalies of weight-based coherence measure and mixed maximally coherent states
- Indefinite Time Directed Quantum Metrology
- To share and not share a singlet: control qubit and nonclassicality in teleportation