Quantum computational advantage from quantum simulation
Speaker: Jara Juana Bermejo-Vega (Universidad de Granada)
Abstract: Demonstrating quantum advantages in near term quantum devices is a notoriously difficult task. Ongoing efforts try to overcome different limitations of quantum devices without fault-tolerance, such as their limited system size. Another major challenge is the complexity of verifying the outcome of a noisy quantum computation. Proposals that exhibit more reliable quantum advantages for classically hard-to-simulate verifiable problems lack, at the same time, practical applicability. Furthermore, it is difficult to find widely-applicable quantum algorithms that beat their best classical counterparts and, simultaneously, be reliably implemented in near-term quantum computers.
In this talk we review these challenges and present proposals to demonstrate quantum advantages inspired from many-body quantum physics. The first of them use entangled quantum resources such as cluster states, which are useful to demonstrate verifiable quantum advantages based on sampling problems. The second probe measurement of many-body quantities such as dynamical structure factors and out-of-time correlators in quantum simulation setups.
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