Physics – Quantum Physics
Scientific paper
2008-10-31
Phys. Rev. A 79, 062314 (2009)
Physics
Quantum Physics
19 pages, 8 figures
Scientific paper
10.1103/PhysRevA.79.062314
We estimate the resource requirements, the total number of physical qubits and computational time, required to compute the ground state energy of a 1-D quantum Transverse Ising Model (TIM) of N spin-1/2 particles, as a function of the system size and the numerical precision. This estimate is based on analyzing the impact of fault-tolerant quantum error correction in the context of the Quantum Logic Array (QLA) architecture. Our results show that due to the exponential scaling of the computational time with the desired precision of the energy, significant amount of error correciton is required to implement the TIM problem. Comparison of our results to the resource requirements for a fault-tolerant implementation of Shor's quantum factoring algorithm reveals that the required logical qubit reliability is similar for both the TIM problem and the factoring problem.
Brown Kenneth R.
Clark Craig R.
Gasster Samuel D.
Metodi Tzvetan S.
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