Teleportation-Based Error Correction Protocol of Time–Frequency Qubit States

Author:

Fabre Nicolas1ORCID

Affiliation:

1. Telecom Paris, Institut Polytechnique de Paris, 19 Place Marguerite Perey, 91120 Palaiseau, France

Abstract

We present a linear optical protocol for teleporting and correcting both temporal and frequency errors in two time–frequency qubit states. The first state is the frequency (or time-of-arrival) cat qubit, which is a single photon in a superposition of two frequencies (or time-of-arrival), while the second is the time–frequency Gottesman–Kitaev–Preskill (GKP) state, which is a single photon with a frequency comb structure. The proposed optical scheme could be valuable for reducing the error rate in quantum communication protocols involving one of these qubits.

Funder

European Union’s Horizon Europe research and innovation program under the project “Quantum Security Networks Partnership”

Publisher

MDPI AG

Subject

Fluid Flow and Transfer Processes,Computer Science Applications,Process Chemistry and Technology,General Engineering,Instrumentation,General Materials Science

Reference63 articles.

1. Generation of a time-frequency grid state with integrated biphoton frequency combs;Fabre;Phys. Rev. A,2020

2. Fabre, N. (2020). Quantum Information in Time-Frequency Continuous Variables. [Ph.D. Thesis, Université de Paris].

3. Continuous variable quantum computation with spatial degrees of freedom of photons;Tasca;Phys. Rev. A,2011

4. Time and frequency as quantum continuous variables;Fabre;Phys. Rev. A,2022

5. Quantum Theory of Superresolution for Two Incoherent Optical Point Sources;Tsang;Phys. Rev. X,2016

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