Broadcasting Quantum Fisher Information

Abstract

It is well known that classical information can be cloned, but non-orthogonal quantum states cannot be cloned, and non-commuting quantum states cannot be broadcast. We conceive a scenario in which the object we want to broadcast is the statistical distinguishability, as quantified by quantum Fisher information, about a signal parameter encoded in quantum states. We show that quantum Fisher information cannot be cloned, whilst it might be broadcast even when the input states are non-commuting. This situation interpolates between cloning of classical information and no-broadcasting of quantum information, and indicates a hybrid way of information broadcasting which is of particular significance from both practical and theoretical perspectives.

5 pages. Improved version. Any comments is welcome

References in corpus (9)

• Advances in Quantum Metrology
• Quantum spin squeezing
• No-local-broadcasting theorem for quantum correlations
• Optical phase estimation in the presence of phase-diffusion
• Is Entanglement Monogamous?
• Quantum frequency estimation with trapped ions and atoms
• Broadcast copies reveal the quantumness of correlations
• Hierarchy of measurement-induced Fisher information for composite states
• Decoherence Free Neutron Interferometry

Cited by in corpus (16)

• Phase matching condition for enhancement of phase sensitivity in quantum metrology
• Quantum Fisher information for density matrices with arbitrary ranks
• Enhancing teleportation of quantum Fisher information by partial measurements
• Quantum metrology with unitary parametrization processes
• Fidelity susceptibility and quantum Fisher information for density operators with arbitrary ranks
• Quantum multiparameter metrology with generalized entangled coherent state
• Enhancing parameter precision of optimal quantum estimation by direct quantum feedback
• Quantum Fisher information and symmetric logarithmic derivative via anti-commutators
• Multiple phase estimation for arbitrary pure states under white noise
• Multiple phase estimation in quantum cloning machines
• Distribution of quantum Fisher information in asymmetric cloning machines
• Effects of partial measurements on quantum resources and quantum Fisher information of a teleported state in a relativistic scenario
• Classical and quantum parts of conditional mutual information for open quantum systems
• Sudden change of interferometric power for X shape states
• Metrological approach to the emergence of classical objectivity
• Quantum information with conserved quantities