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The growing field of quantum computing is based on the concept of a q-bitwhich is a delicate superposition of 0 and 1, requiring cryogenic temperaturesfor its physical realization along with challenging coherent couplingtechniques for entangling them. By contrast, a probabilistic bit or a p-bit isa robust classical entity that fluctuates between 0 and 1, and can beimplemented at room temperature using present-day technology. Here, we showthat a probabilistic coprocessor built out of room temperature p-bits can beused to accelerate simulations of a special class of quantum many-body systemsthat are sign-problem$-$free or stoquastic, leveraging the well-knownSuzuki-Trotter decomposition that maps a $d$-dimensional quantum many bodyHamiltonian to a $d$+1-dimensional classical Hamiltonian. This mapping allowsan efficient emulation of a quantum system by classical computers and iscommonly used in software to perform Quantum Monte Carlo (QMC) algorithms. Bycontrast, we show that a compact, embedded MTJ-based coprocessor can serve as ahighly efficient hardware-accelerator for such QMC algorithms providing severalorders of magnitude improvement in speed compared to optimized CPUimplementations. Using realistic device-level SPICE simulations we demonstratethat the correct quantum correlations can be obtained using a classicalp-circuit built with existing technology and operating at room temperature. Theproposed coprocessor can serve as a tool to study stoquastic quantum many-bodysystems, overcoming challenges associated with physical quantum annealers.

Scalable Emulation of Sign-Problem$-$Free Hamiltonians with Room Temperature p-bits