Distinguishing unitary gates on the IBM quantum processor
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摘要
An unknown unitary gate, which is secretly chosen from several known ones, can always be distinguished perfectly. In this paper, we implement such a task on IBM's quantum processor. More precisely,we experimentally demonstrate the discrimination of two qubit unitary gates, the identity gate and the 2/3π-phase shift gate, using two discrimination schemes — the parallel scheme and the sequential scheme. We program these two schemes on the ibmqx4, a 5-qubit superconducting quantum processor via IBM cloud,with the help of the QSI modules. We report that both discrimination schemes achieve success probabilities at least 85%.
An unknown unitary gate, which is secretly chosen from several known ones, can always be distinguished perfectly. In this paper, we implement such a task on IBM's quantum processor. More precisely,we experimentally demonstrate the discrimination of two qubit unitary gates, the identity gate and the 2/3π-phase shift gate, using two discrimination schemes — the parallel scheme and the sequential scheme. We program these two schemes on the ibmqx4, a 5-qubit superconducting quantum processor via IBM cloud,with the help of the QSI modules. We report that both discrimination schemes achieve success probabilities at least 85%.
An unknown unitary gate, which is secretly chosen from several known ones, can always be distinguished perfectly. In this paper, we implement such a task on IBM's quantum processor. More precisely,we experimentally demonstrate the discrimination of two qubit unitary gates, the identity gate and the 2/3π-phase shift gate, using two discrimination schemes — the parallel scheme and the sequential scheme. We program these two schemes on the ibmqx4, a 5-qubit superconducting quantum processor via IBM cloud,with the help of the QSI modules. We report that both discrimination schemes achieve success probabilities at least 85%.
引文
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3 Chen J,Ying M S.Ancilla-assisted discrimination of quantum gates.Quantum Info Comput,2010,10:160-177
4 D’Ariano G M,Sacchi M F,Kahn J.Minimax discrimination of two Pauli channels.Phys Rev A,2005,72:052302
5 Duan R Y,Feng Y,Ying M S.Entanglement is not necessary for perfect discrimination between unitary operations.Phys Rev Lett,2007,98:100503
6 Duan R Y,Feng Y,Ying M S.Local distinguishability of multipartite unitary operations.Phys Rev Lett,2008,100:0205037 Duan R Y,Feng Y,Ying M S.Perfect distinguishability of quantum operations.Phys Rev Lett,2009,103:210501
8 Ji Z F,Feng Y,Duan R Y,et al.Identification and distance measures of measurement apparatus.Phys Rev Lett,2006,96:200401
9 Watrous J.Distinguishing quantum operations having few kraus operators.Quantum Info Comput,2008,8:819-833
10 Das S,Wilde M M.Quantum reading capacity:general definition and bounds.2017.ArXiv:1703.03706
11 Duan R Y,Guo C,Li C-K,et al.Parallel distinguishability of quantum operations.In:Proceedings of International Symposium on Information Theory(ISIT),Barcelona,2016.2259-2263
12 Harrow A W,Hassidim A,Leung D W,et al.Adaptive versus nonadaptive strategies for quantum channel discrimination.Phys Rev A,2010,81:032339
13 Liu J J,Hong Z.Experimental realization of perfect discrimination for two unitary operations.Chin Phys Lett,2008,25:3663-3665
14 Zhang P,Peng L,Wang Z W,et al.Linear optical implementation of perfect discrimination between single-bit unitary operations.J Phys B-At Mol Opt Phys,2008,41:195501
15 Laing A,Rudolph T,O’Brien J L.Experimental quantum process discrimination.Phys Rev Lett,2009,102:160502
16 Preskill J.Quantum computing in the NISQ era and beyond.2018.ArXiv:1801.00862
17 Cross W A,Bishop S L,Smolin A J,et al.Open quantum assembly language.2017.ArXiv:1707.03429
18 Liu S S,Wang X,Zhou L,et al.Q|SI>:a quantum programming environment.2017.ArXiv:1710.09500
19 5-qubit backend:IBM QX team.ibmqx2 backend specification.2017.https://ibm.biz/qiskit-ibmqx2
20 Walgate J,Short A J,Hardy L,et al.Local distinguishability of multipartite orthogonal quantum states.Phys Rev Lett,2000,85:4972-4975
21 Wang Z,He L X.Quantifying quantum information resources:a numerical study.Sci China Inf Sci,2017,60:052501
1)https://github.com/klinus9542/UnitaryDistIBMQ.
2 Chefles A,Kitagawa A,Takeoka M,et al.Unambiguous discrimination among oracle operators.J Phys A-Math Theory,2007,40:10183-10213
3 Chen J,Ying M S.Ancilla-assisted discrimination of quantum gates.Quantum Info Comput,2010,10:160-177
4 D’Ariano G M,Sacchi M F,Kahn J.Minimax discrimination of two Pauli channels.Phys Rev A,2005,72:052302
5 Duan R Y,Feng Y,Ying M S.Entanglement is not necessary for perfect discrimination between unitary operations.Phys Rev Lett,2007,98:100503
6 Duan R Y,Feng Y,Ying M S.Local distinguishability of multipartite unitary operations.Phys Rev Lett,2008,100:0205037 Duan R Y,Feng Y,Ying M S.Perfect distinguishability of quantum operations.Phys Rev Lett,2009,103:210501
8 Ji Z F,Feng Y,Duan R Y,et al.Identification and distance measures of measurement apparatus.Phys Rev Lett,2006,96:200401
9 Watrous J.Distinguishing quantum operations having few kraus operators.Quantum Info Comput,2008,8:819-833
10 Das S,Wilde M M.Quantum reading capacity:general definition and bounds.2017.ArXiv:1703.03706
11 Duan R Y,Guo C,Li C-K,et al.Parallel distinguishability of quantum operations.In:Proceedings of International Symposium on Information Theory(ISIT),Barcelona,2016.2259-2263
12 Harrow A W,Hassidim A,Leung D W,et al.Adaptive versus nonadaptive strategies for quantum channel discrimination.Phys Rev A,2010,81:032339
13 Liu J J,Hong Z.Experimental realization of perfect discrimination for two unitary operations.Chin Phys Lett,2008,25:3663-3665
14 Zhang P,Peng L,Wang Z W,et al.Linear optical implementation of perfect discrimination between single-bit unitary operations.J Phys B-At Mol Opt Phys,2008,41:195501
15 Laing A,Rudolph T,O’Brien J L.Experimental quantum process discrimination.Phys Rev Lett,2009,102:160502
16 Preskill J.Quantum computing in the NISQ era and beyond.2018.ArXiv:1801.00862
17 Cross W A,Bishop S L,Smolin A J,et al.Open quantum assembly language.2017.ArXiv:1707.03429
18 Liu S S,Wang X,Zhou L,et al.Q|SI>:a quantum programming environment.2017.ArXiv:1710.09500
19 5-qubit backend:IBM QX team.ibmqx2 backend specification.2017.https://ibm.biz/qiskit-ibmqx2
20 Walgate J,Short A J,Hardy L,et al.Local distinguishability of multipartite orthogonal quantum states.Phys Rev Lett,2000,85:4972-4975
21 Wang Z,He L X.Quantifying quantum information resources:a numerical study.Sci China Inf Sci,2017,60:052501
1)https://github.com/klinus9542/UnitaryDistIBMQ.