Polaritonic XY-Ising machine

Abstract

<jats:title>Abstract</jats:title><jats:p>Gain-dissipative systems of various physical origin have recently shown the ability to act as analogue minimisers of hard combinatorial optimisation problems. Whether or not these proposals will lead to any advantage in performance over the classical computations depends on the ability to establish controllable couplings for sufficiently dense short- and long-range interactions between the spins. Here, we propose a polaritonic XY-Ising machine based on a network of geometrically isolated polariton condensates capable of minimising discrete and continuous spin Hamiltonians. We elucidate the performance of the proposed computing platform for two types of couplings: relative and absolute. The interactions between the network nodes might be controlled by redirecting the emission between the condensates or by sending the phase information between nodes using resonant excitation. We discuss the conditions under which the proposed machine leads to a pure polariton simulator with pre-programmed couplings or results in a hybrid classical polariton simulator. We argue that the proposed architecture for the remote coupling control offers an improvement over geometrically coupled condensates in both accuracy and stability as well as increases versatility, range, and connectivity of spin Hamiltonians that can be simulated with polariton networks.</jats:p>

Tunable exciton-polaritons emerging from WS2 monolayer excitons in a photonic lattice at room temperature

“…xciton-polaritons in lattices have matured to a very promising and versatile platform in applied information technology [1][2][3][4] . Their bosonic character enables ultra-fast condensation processes [5][6][7][8] , which are already exploited in classical emulation applications 1,2 , and can be also harnessed in ultrafast quantum annealing architectures 9 . Their intrinsically strong non-linearity has very recently opened the area of genuine quantum polaritonics 10,11 .…”

Spectral phase transitions in optical parametric oscillators

“…For example, in the OPO-based Ising machines, which have been strictly operating at degeneracy so far 37 , 45 , the spectral phase transition can act as an additional search mechanism leveraging the symmetry breaking and additional phase noise in the non-degenerate regime. Moreover, our results on spectral phase transition can extend the foundation for phase transition-based computing platforms 46 .…”

Antiferromagnetic spatial photonic Ising machine through optoelectronic correlation computing

“…Optimization problem solvers with remarkable performance have been demonstrated in various systems, e.g. trapped ions [14][15][16], atomic and photonic condensates [17,18], superconducting circuits [19], coupled parametric oscillators [20][21][22][23][24][25][26][27][28][29][30], injection-locked or degenerate cavity lasers [31][32][33][34], integrated nanophotonic circuits [35][36][37][38][39][40], and polaritons [41][42][43].…”