Two-qubit Projective Measurements are Universal for Quantum Computation

Details Two-qubit Projective Measurements are Universal for Quantum Computation Two-qubit Projective Measurements are Universal for Quantum Computation

2001-11-23

arxiv.org/abs/quant-ph/0111122v2

Physics

Quantum Physics

Results and discussed expanded, simple discrete universal sets of measurements presented

Scientific paper

Nielsen [quant-ph/0108020] showed that universal quantum computation is possible given quantum memory and the ability to perform projective measurements on up to 4-qubits. We describe an improved method that requires only 2-qubit measurements, which are both sufficient and necessary. We present a method to partially collapse the $C_k$-hierarchy in the indirect construction of unitary gates [Gottesman and Chuang, Nature, {\bf 402} 309 (1999)], and apply the method to find discrete universal sets of 2-qubit measurements.

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