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Resource Requirements for Fault-Tolerant Quantum Simulation: The Transverse Ising Model Ground State

Samuel Gasster, The Aerospace Corporation

(Session 9 : Saturday from 5:00-5:30)

Abstract. Craig R. Clark, Kenneth R. Brown, Tzvetan S. Metodi, Samuel D. Gasster The cost, in both computational space and time, of calculating the energy of the ground state of the transverse Ising model on a fault-tolerant quantum computer is estimated using the Quantum Logic Array (QLA) architecture model. The QLA is a homogeneous, scalable, tile-based quantum architecture design employing concatenated quantum error correction for the construction of logical qubits and gates, based on experimentally viable ion-trap device technology parameters and components. The error correction requirements for calculating the energy on the QLA architecture are comparable to those for factoring large integers via Shor's quantum factoring algorithm number due to the exponential scaling of the computational time steps with the precision. As a result, a fault-tolerant QLA-based quantum computer which can factor 1024-bit integers can also be used to calculate the Ising ground-state energy with precision of up to 7 decimal digits.