Associative memory refers to the ability to relate a memory with an input and targets the restoration of corrupted patterns. It has been intensively studied in classical physical systems, as in neural networks where an attractor dynamics settles on stable solutions. Several extensions to the quantum domain have been recently reported, displaying different features. I will present a comprehensive framework for a quantum associative memory based on open quantum system dynamics, which can be used to compare existing models, identify the theoretical prerequisites for performing associative memory tasks, and extend it in different forms. The map that achieves an exponential increase in the number of stored patterns with respect to classical systems is derived. The crucial role of symmetries and dissipation in the operation of quantum associative memory is established.  I will also address the feasibility of having both quantum and classical pattern recognition, orthogonal and non-orthogonal memories, stationary and metastable operating regimes, and measurement-based outputs.

References:

Quantum associative memory with a single driven-dissipative nonlinear oscillator, A Labay-Mora, R Zambrini, GL Giorgi,  Physical Review Letters 130, 190602 (2023)

Quantum memories for squeezed and coherent superpositions in a driven-dissipative nonlinear oscillator, A Labay-Mora, R Zambrini, GL Giorgi, Physical Review A 109, 032407 (2024)

Theoretical framework for quantum associative memories, A Labay-Mora, E Fiorelli, R Zambrini, GL Giorgi, arXiv preprint arXiv:2408.14272

Neural networks with quantum states of light, A Labay-Mora, J García-Beni, GL Giorgi, MC Soriano, R Zambrini, Philosophical Transactions A 382, 20230346 (2024)

Join Zoom Meeting:

https://us06web.zoom.us/j/5081440931

Meeting ID: 508 144 0931

Seminar hosts: 

Neven Šantić i Matija Čulo