Implementation of the quantum Fourier transform on a hybrid qubit–qutrit NMR quantum emulator
暂无分享,去创建一个
Kavita Dorai | Shruti Dogra | Arvind | K. Dorai | S. Dogra | Arvind Dorai
[1] D. Gottesman. Fault-Tolerant Quantum Computation with Higher-Dimensional Systems , 1998, quant-ph/9802007.
[2] H Bechmann-Pasquinucci,et al. Quantum cryptography with 3-state systems. , 2000, Physical review letters.
[3] Marco Barbieri,et al. Simplifying quantum logic using higher-dimensional Hilbert spaces , 2009 .
[4] Nikolay V. Vitanov,et al. Arbitrary qudit gates by adiabatic passage , 2013 .
[5] C. Slichter. Principles of magnetic resonance , 1963 .
[6] Bing He,et al. Bi-directional mapping between polarization and spatially encoded photonic qutrits , 2009, 0905.3214.
[7] E M Fortunato,et al. Implementation of the quantum Fourier transform. , 2001, Physical review letters.
[8] Shou Zhang,et al. Efficient quantum circuit for implementing discrete quantum Fourier transform in solid-state qubits , 2011 .
[9] F Sciarrino,et al. Experimental optimal cloning of four-dimensional quantum states of photons. , 2010, Physical review letters.
[10] D. Coppersmith. An approximate Fourier transform useful in quantum factoring , 2002, quant-ph/0201067.
[11] B. Fung,et al. Nuclear magnetic resonance quantum logic gates using quadrupolar nuclei , 2000 .
[12] Anil Kumar,et al. Geometric quantum computation using fictitious spin- 1/2 subspaces of strongly dipolar coupled nuclear spins , 2006 .
[13] D. O’Leary,et al. Asymptotically optimal quantum circuits for d-level systems. , 2004, Physical review letters.
[14] Ashok Muthukrishnan C. R. Stroud. Quantum fast Fourier transform using multilevel atoms , 2001, quant-ph/0112017.
[15] Barry C Sanders,et al. Quantum gates on hybrid qudits , 2002 .
[16] Katarzyna Radecka,et al. Scaling and Better Approximating Quantum Fourier Transform by Higher Radices , 2007, IEEE Transactions on Computers.
[17] A. K. Khitrin,et al. Projective measurement in nuclear magnetic resonance , 2006 .
[18] Peter W. Shor,et al. Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer , 1995, SIAM Rev..
[19] D. O. Soares-Pinto,et al. Nonclassical correlation in NMR quadrupolar systems , 2010, 1004.0022.
[20] K. V. Ramanathan,et al. Quantum-information processing by nuclear magnetic resonance: Experimental implementation of half-adder and subtractor operations using an oriented spin-7/2 system , 2002 .
[21] Dianne P. O'Leary,et al. Parallelism for quantum computation with qudits , 2006, quant-ph/0603081.
[22] Ranabir Das,et al. Quantum information processing by NMR: preparation of pseudopure states and implementation of unitary operations in a single-qutrit system , 2003 .
[23] J. C. Retamal,et al. Qutrit quantum computer with trapped ions , 2003 .
[24] G. G. Stokes. "J." , 1890, The New Yale Book of Quotations.
[25] Faisal Shah Khan,et al. Synthesis of multi-qudit hybrid and d-valued quantum logic circuits by decomposition , 2006, Theor. Comput. Sci..
[26] Dianne P. O'Leary,et al. Criteria for exact qudit universality , 2004, quant-ph/0407223.
[27] Wendong Li,et al. Efficient universal quantum computation with auxiliary Hilbert space , 2013 .
[28] Jr.,et al. Multivalued logic gates for quantum computation , 2000, quant-ph/0002033.
[29] Dieter Suter,et al. Efficient implementations of the quantum Fourier transform , 2005 .
[30] Colin Wilmott,et al. ON A GENERALIZED QUANTUM SWAP GATE , 2008, 0811.1684.
[31] Andrew D Greentree,et al. Maximizing the Hilbert space for a finite number of distinguishable quantum states. , 2004, Physical review letters.
[32] M. Levitt. Spin Dynamics: Basics of Nuclear Magnetic Resonance , 2001 .
[33] Navin Khaneja,et al. Optimal control in NMR spectroscopy: numerical implementation in SIMPSON. , 2009, Journal of magnetic resonance.
[34] A. Vaziri,et al. Experimental quantum cryptography with qutrits , 2005, quant-ph/0511163.
[35] Timo O. Reiss,et al. Optimal control of coupled spin dynamics: design of NMR pulse sequences by gradient ascent algorithms. , 2005, Journal of magnetic resonance.
[36] R. Cleve,et al. Quantum algorithms revisited , 1997, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[37] Pedro Chamorro-Posada,et al. A SWAP gate for qudits , 2013, Quantum Inf. Process..
[38] T. S. Mahesh,et al. Toward quantum information processing by nuclear magnetic resonance: pseudopure states and logical operations using selective pulses on an oriented spin 3/2 nucleus , 2001 .
[39] Dianne P. O'Leary,et al. Efficient circuits for exact-universal computationwith qudits , 2006, Quantum Inf. Comput..
[40] H. A. Hessian,et al. Implementing discrete quantum Fourier transform via superconducting qubits coupled to a superconducting cavity , 2013 .
[41] Li Dong,et al. Quantum Fourier transform of polarization photons mediated by weak cross-Kerr nonlinearity , 2013 .
[42] A. Ermilov,et al. Pulse sequences for realizing the quantum Fourier transform on multilevel systems , 2006 .
[43] QUANTUM STATE TOMOGRAPHY AND QUANTUM LOGICAL OPERATIONS IN A THREE QUBITS NMR QUADRUPOLAR SYSTEM , 2011, 1108.5353.
[44] Dieter Suter,et al. Efficient implementations of the Quantum Fourier Transform: an experimental perspective , 2002 .
[45] Kavita Dorai,et al. Determining the parity of a permutation using an experimental NMR qutrit , 2014, 1406.5026.
[46] Hong-xiang Sun,et al. Method of multifrequency excitation for creating pseudopure states for NMR quantum computing , 2001 .
[47] Cao Ye,et al. Quantum Fourier Transform and Phase Estimation in Qudit System , 2011 .
[48] Hai-Rui Wei,et al. Synthesis of multivalued quantum logic circuits by elementary gates , 2013, 1302.0056.