Journal
PHYSICAL REVIEW LETTERS
Volume 107, Issue 25, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.107.250503
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Funding
- Austrian Science Fund (FWF) [Y535-N16, F40-FoQus F4011-N16]
- Austrian Science Fund (FWF) [Y535] Funding Source: Austrian Science Fund (FWF)
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Jozsa et al. [Proc. R. Soc. A 466, 809 2009)] have shown that a match gate circuit running on n qubits can be compressed to a universal quantum computation on log(n) + 3 qubits. Here, we show how this compression can be employed to simulate the Ising interaction of a 1D chain consisting of n qubits using a universal quantum computer running on log(n) qubits. We demonstrate how the adiabatic evolution can be realized on this exponentially smaller system and how the magnetization, which displays a quantum phase transition, can be measured. This shows that the quantum phase transition of very large systems can be observed experimentally with current technology.
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