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arXiv:2009.05564 · Journal of Physics Communications

Deterministic teleportation and universal computation without particle exchange

Hatim Salih, Jonte R. Hance, Will McCutcheon, Terry Rudolph, John Rarity

Published Apr 1, 2025• 13 citations
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Abstract

Abstract Teleportation is a cornerstone of quantum technologies, and has played a key role in the development of quantum information theory. Pushing the limits of teleportation is therefore of particular importance. Here, we apply a different aspect of quantumness to teleportation—namely exchange-free, or counterfactual, computation at a distance. We propose a universal controlled-phase gate, where no particles are exchanged between control and target. This allows the full repertoire of quantum computation to me made exchange-free, including both complete Bell detection among two remote parties and so teleportation and telecloning. Further, we show that this gate, and the protocols based on it, is experimentally feasible, simulating the fidelity of our exchange-free teleportation and telecloning protocols for realistic bit-errors.

DOI
10.1088/2399-6528/adce54

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Abstract Teleportation is a cornerstone of quantum technologies, and has played a key role in the development of quantum information theory. Pushing the limits of teleportation is therefore of particular importance. Here, we apply a different aspect of quantumness to teleportation—namely exchange-free, or counterfactual, computation at a distance. We propose a universal controlled-phase gate, where no particles are exchanged between control and target. This allows the full repertoire of quantum computation to me made exchange-free, including both complete Bell detection among two remote parties and so teleportation and telecloning. Further, we show that this gate, and the protocols based on it, is experimentally feasible, simulating the fidelity of our exchange-free teleportation and telecloning protocols for realistic bit-errors.
Teleportation is a cornerstone of quantum technologies, and has played a key role in the development of quantum information theory. Pushing the limits of teleportation is therefore of particular importance. Here, we apply a different aspect of quantumness to teleportation---namely exchange-free, or counterfactual, computation at a distance. We propose a universal controlled-phase gate, where no particles are exchanged between control and target. This allows the full repertoire of quantum computation to me made exchange-free, including both complete Bell detection among two remote parties and so teleportation and telecloning. Further, we show that this gate, and the protocols based on it, is experimentally feasible, simulating the fidelity of our exchange-free teleportation and telecloning protocols for realistic bit-errors.
Teleportation is a cornerstone of quantum technologies, and has played a key role in the development of quantum information theory. Pushing the limits of teleportation is therefore of particular importance. Here, we apply a different aspect of quantumness to teleportation---namely exchange-free, or counterfactual, computation at a distance. We propose a universal controlled-phase gate, where no particles are exchanged between control and target. This allows the full repertoire of quantum computation to me made exchange-free, including both complete Bell detection among two remote parties and so teleportation and telecloning. Further, we show that this gate, and the protocols based on it, is experimentally feasible, simulating the fidelity of our exchange-free teleportation and telecloning protocols for realistic bit-errors.
Abstract We present a way of directly manipulating an arbitrary qubit, without the exchange of any particles. This includes as an application the exchange-free preparation of an arbitrary quantum state at Alice by a remote classical Bob. As a result, we are able to propose a protocol that allows one party to directly enact, by means of a suitable program, any computation exchange-free on a remote second party's unknown qubit. Further, we show how to use this for the exchange-free control of a universal two-qubit gate, thus opening the possibility of directly enacting any desired algorithm remotely on a programmable quantum circuit.
We present a way of directly manipulating an arbitrary qubit, without the exchange of any particles. This includes as an application the exchange-free preparation of an arbitrary quantum state at Alice by a remote classical Bob. As a result, we are able to propose a protocol that allows one party to directly enact, by means of a suitable program, any computation exchange-free on a remote second party's unknown qubit. Further, we show how to use this for the exchange-free control of a universal two-qubit gate, thus opening the possibility of directly enacting any desired algorithm remotely on a programmable quantum circuit.
Quantum gate teleportation provides an approach to introduce nonlinear interactions between long-distance qubits, facilitating distributed quantum computation. We present two alternative protocols for deterministically teleporting controlled-not (cnot) and controlled-phase-flip (cpf) gates, using minimal resources---one entangled qubit (ebit) and two classical bits (cbits). Our protocols eliminate the need for local cnot gates at each party, which are typically required in the standard quantum circuit model [Eisert et al. Phys. Rev. A 62, 052317 (2000)]. Instead, by using a superposition of single-qubit gate orders, our approach makes quantum gate teleportation more experimentally feasible and flexible. Remarkably, the teleportation of the cpf gate and other two-qubit controlled unitary gates can be achieved by adjusting inherent single-qubit operations, reducing the need for single-qubit gates in cnot-based constructions. Additionally, we develop two optical architectures for the teleportation of these gates. The polarization-based and transverse spatial-based setups show that this approach is more feasible and practical, and pave a way for a distributed quantum computing network.
Quantum gate teleportation enables distant parties to implement nonlocal quantum operations without physically transferring the participating qubits, making it a promising primitive for distributed quantum computing. We introduce a general framework for deterministic quantum gate teleportation based on path superposition, in which the target nonlocal operation is specified through the phase of a preshared maximally entangled resource and a suitable family of path-dependent local unitary operators. The framework establishes general design conditions that guarantee deterministic teleportation after measurement of the control qubits and the application of local correction operations. As representative realizations, we construct teleportation protocols for controlled-NOT (CNOT) and controlled-Z (CZ) gates, demonstrating that different nonlocal operations can be implemented within the same protocol architecture through appropriate choices of the design parameters. We further outline a proof-of-concept photonic realization based on spatial-path and polarization degrees of freedom. The proposed framework identifies path superposition as a versatile resource for quantum gate teleportation and distributed quantum information processing.