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Variational Fast Forwarding for Quantum Simulation Beyond the Coherence Time
Cristina Cirstoiu, Zoe Holmes, Joseph Iosue +3
Trotterization-based, iterative approaches to quantum simulation are restricted to simulation times less than the coherence time of the quantum computer, which limits their utility…
An Adaptive Optimizer for Measurement-Frugal Variational Algorithms
Jonas M. Kübler, Andrew Arrasmith, Lukasz Cincio +1
Variational hybrid quantum-classical algorithms (VHQCAs) have the potential to be useful in the era of near-term quantum computing. However, recently there has been concern regardi…
Variational Quantum Linear Solver
Carlos Bravo-Prieto, Ryan LaRose, M. Cerezo +3
Previously proposed quantum algorithms for solving linear systems of equations cannot be implemented in the near term due to the required circuit depth. Here, we propose a hybrid q…
Noise Resilience of Variational Quantum Compiling
Kunal Sharma, Sumeet Khatri, M. Cerezo +1
Variational hybrid quantum-classical algorithms (VHQCAs) are near-term algorithms that leverage classical optimization to minimize a cost function, which is efficiently evaluated o…
Variational Quantum Fidelity Estimation
M. Cerezo, Alexander Poremba, Lukasz Cincio +1
Computing quantum state fidelity will be important to verify and characterize states prepared on a quantum computer. In this work, we propose novel lower and upper bounds for the f…
Strong bound between trace distance and Hilbert-Schmidt distance for low-rank states
Patrick J. Coles, M. Cerezo, Lukasz Cincio
The trace distance between two quantum states, and , is an operationally meaningful quantity in quantum information theory. However, in general it is difficult to compute, i…