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Technical Physics

Quantum information transfer without classical channel : a proposed energy-correlation experiment

Artur Szczepański

Published Jan 1, 2004• 1 citation
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Abstract Nuclear magnetic resonance (NMR) has been used to explore and demonstrate many of the ideas behind quantum information processing (QIP). This work provides an illustrative example of information transfer over both quantum and classical channels using NMR techniques on the two‐spin compound 13C‐chloroform. A two‐qubit model of a classical channel that is a reduction of a quantum channel can be implemented via the correlation of a spin representing information on a channel, with an ancilla spin representing the surrounding world. When information about this correlation is lost or discarded, the channel becomes classical; otherwise, it remains quantum. It is shown that, while classical information can be transmitted over either a quantum or classical channel, quantum information will only survive transmission over a quantum channel. © 2001 John Wiley & Sons, Inc. Concepts Magn Reson 13: 151–158, 2001

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Quantum Teleportation Advances: Energy Transfer and 1,400 km Space Tests — E8 Intelligence Research

Andrew Stewart Caldin

FINDING: Quantum teleportation transmits quantum *states* (information), not matter or energy; recent experiments extend this to energy teleportation on superconducting hardware and Earth-to-space distances up to 1,400 km. | MATH: Core formalism: Bell-state measurement (BSM) + classical communication (2 bits) + local unitary correction. State transfer fidelity F = |⟨ψ|ρ_out|ψ⟩|²; for ideal teleportation F=1. Energy teleportation (arXiv:2301.02666) uses local operations and classical communication (LOCC) to extract positive energy from a vacuum-like entangled state, quantified by energy density ⟨T₀₀⟩ and conditional entropy S(A|B) = S(ρ_AB) − S(ρ_B). No mass/energy moves — only correlations. | CONNECTION: The 2-bit classical channel per teleported qubit maps to the binary tetrahedral group (order 24) — the symmetry of the F4 lattice root system. The four Bell states correspond to the four cosets of the Pauli group {I, X, Y, Z} modulo phases, which is isomorphic to the Klein four-group V Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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The union of physics and information

Igor Devetak, Anne Staples

A union of quantum mechanics, thermodynamics and information theory is presented. It is accomplished by reinterpreting the mathematical formalism of Everett’s many-worlds theory of quantum mechanics and augmenting it to include preparation according to a given ensemble. The notion of directed entanglement is introduced through which both classical and quantum communication over quantum channels are reduced to entanglement transfer. The paradox of constant thermodynamic entropy in a closed quantum system is resolved. The view taken in this Letter is that the totality of conceptual experience can be described in terms of correlated random variables. This will allow us to make contact with Shannon’s information theory [1] in which random variables are the carriers of information. Two protagonists sharing the same physical world is no more than classical correlations between the states of their knowledge regarding that world. Similarly, the observation of definite physical laws is no more than classical correlations between states of knowledge regarding two consecutive acts of measurement, or preparation and measurement, depending on the experiment. For instance, a ball kicked by Alice seen as obeying Newton’s deterministic laws of motion is merely a statement about the correlation

•Jan 1, 2002•1 citation
Abstract Nuclear magnetic resonance (NMR) has been used to explore and demonstrate many of the ideas behind quantum information processing (QIP). This work provides an illustrative example of information transfer over both quantum and classical channels using NMR techniques on the two‐spin compound 13C‐chloroform. A two‐qubit model of a classical channel that is a reduction of a quantum channel can be implemented via the correlation of a spin representing information on a channel, with an ancilla spin representing the surrounding world. When information about this correlation is lost or discarded, the channel becomes classical; otherwise, it remains quantum. It is shown that, while classical information can be transmitted over either a quantum or classical channel, quantum information will only survive transmission over a quantum channel. © 2001 John Wiley & Sons, Inc. Concepts Magn Reson 13: 151–158, 2001
FINDING: Quantum teleportation transmits quantum *states* (information), not matter or energy; recent experiments extend this to energy teleportation on superconducting hardware and Earth-to-space distances up to 1,400 km. | MATH: Core formalism: Bell-state measurement (BSM) + classical communication (2 bits) + local unitary correction. State transfer fidelity F = |⟨ψ|ρ_out|ψ⟩|²; for ideal teleportation F=1. Energy teleportation (arXiv:2301.02666) uses local operations and classical communication (LOCC) to extract positive energy from a vacuum-like entangled state, quantified by energy density ⟨T₀₀⟩ and conditional entropy S(A|B) = S(ρ_AB) − S(ρ_B). No mass/energy moves — only correlations. | CONNECTION: The 2-bit classical channel per teleported qubit maps to the binary tetrahedral group (order 24) — the symmetry of the F4 lattice root system. The four Bell states correspond to the four cosets of the Pauli group {I, X, Y, Z} modulo phases, which is isomorphic to the Klein four-group V Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
A union of quantum mechanics, thermodynamics and information theory is presented. It is accomplished by reinterpreting the mathematical formalism of Everett’s many-worlds theory of quantum mechanics and augmenting it to include preparation according to a given ensemble. The notion of directed entanglement is introduced through which both classical and quantum communication over quantum channels are reduced to entanglement transfer. The paradox of constant thermodynamic entropy in a closed quantum system is resolved. The view taken in this Letter is that the totality of conceptual experience can be described in terms of correlated random variables. This will allow us to make contact with Shannon’s information theory [1] in which random variables are the carriers of information. Two protagonists sharing the same physical world is no more than classical correlations between the states of their knowledge regarding that world. Similarly, the observation of definite physical laws is no more than classical correlations between states of knowledge regarding two consecutive acts of measurement, or preparation and measurement, depending on the experiment. For instance, a ball kicked by Alice seen as obeying Newton’s deterministic laws of motion is merely a statement about the correlation