Internship and thesis proposals
Quantum error correction of time-frequency Gottesman-Kitaev-Preskill states

Domaines
Quantum optics/Atomic physics/Laser
Non-relativistic quantum field theory, quantum optics, complex quantum systems
Quantum information theory and quantum technologies
Quantum optics
Non-linear optics

Type of internship
Théorique, numérique
Description
Time-frequency is a promising degree of freedom for encoding and processing quantum information. In particular, frequency is remarkably robust to linear optical processes, making it an attractive resource for high-dimensional quantum information protocols. Although time and frequency are intrinsically continuous degrees of freedom, they can be discretized to encode high-dimensional quantum states, or qudits, and further reduced to two-dimensional subspaces to define qubits. One example is the time-frequency Gottesman-Kitaev-Preskill (GKP) state, in which a qubit can be encoded in the even and odd components of a frequency comb generated by an entangled photon-pair source. Such states are promising for applications in enhanced quantum metrology and quantum error correction. They also exhibit strong mathematical similarities with bosonic GKP codes, while being physically distinct. In this internship, we aim to investigate and adapt quantum error-correction protocols to entangled time-frequency GKP states. A particular focus will be placed on realistic error sources, including incoherent errors arising from detector timing jitter, as well as quantum channels that induce broadening in the time and frequency domains. The goal will be to characterize the performance of error-correction protocols under these realistic noise processes and determine the number of correction cycles required to preserve the quality of the encoded state for a given quantum information protocol.

Contact
Nicolas Fabre
Laboratory : LTCI -
Team : GTO
Team Website
/ Thesis :    Funding :