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General Quantum Interference Principle and Duality Computer

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Communications in Theoretical Physics 2006年第5期45卷 825-844页

作者： long gui-lu Key Laboratory for Quantum Information and Measurements and Department of Physics Tsinghua University Beijing100084 China Key Laboratory of Atomic and Molecular Nanosciences Tsinghua University Beijing 100084 China

In this article, we propose a general principle of quantum interference for quantum system, and based on this we propose a new type of computing machine, the duality computer, that may outperform in principle both classical computer and the quantum computer. According to the general principle of quantum interference, the very essence of quantum interference is the interference of the sub-waves of the quantum system itself A quantum system considered here can be any quantum system： a single microscopic particle, a composite quantum system such as an atom or a molecule, or a loose collection of a few quantum objects such as two independent photons. In the duality computer, the wave of the duality computer is split into several sub-waves and they pass through different routes, where different computing gate operations are performed. These sub-waves are then re-combined to interfere to give the computational results. The quantum computer, however, has only used the particle nature of quantum object. In a duality computer, it may be possible to find a marked item from an unsorted database using only a single query, and all NP-complete problems may have polynomial algorithms. Two proof-of-the-principle designs of the duality computer are presented： the giant molecule scheme and the nonlinear quantum optics scheme. We also propose thought experiment to check the related fundamental issues, the measurement efficiency of a partial wave function.

关键词： quantum interference duality computer NP-complete = P

Duality Computing in Quantum Computers

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Communications in Theoretical Physics 2008年第12期50卷 1303-1306页

作者： long gui-lu LIU Yang Key Laboratory of Atomic and Molecular Nanosciencs and Department of Physics Tsinghua University Beijing 100084China Tsinghua National Laboratory for Information Science and Technology Beijing 100084 China

In this letter,we propose a duality computing mode,which resembles particle-wave duality property whena quantum system such as a quantum computer passes through a *** this mode,computing operations arenot necessarily *** duality mode provides a natural link between classical computing and quantum *** addition,the duality mode provides a new tool for quantum algorithm design.

关键词： duality computer duality quantum computer duality computing mode

Generating Squeezed States in Solid State Circuits

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Communications in Theoretical Physics 2008年第5期49卷 1207-1210页

作者： WEN Yi-Huo long gui-lu Key Laboratory for Atomic and Molecular NanoSciences and Department of Physics Tsinghua University Beijing 100084 China Tsinghua National Laboratory for Information Science and Technology Beijing 100084 China

We propose a scheme for generating squeezed states in solid state circuits which consist a superconducting transmission line resonator （STLR）, a superconducting Cooper-pair box （CPB） and a nanoelectromechanical resonator （NMR）. The nonlinear interaction between the STLR and the CPB can be implemented by setting the external biased flux of the CPB at some certain points. The interaction Hamiltonian between the STLR and the NMR is derived by performing Fr ohlich transformation on tile total Hamiltonian of tile combined system. Just by adiabatically keeping the CPB at the ground state, we get the standard parametric down-conversion Hamiltonian, and the squeezed states of the STLR can be easily generated, which is similar to the three-wave mixing in quantum optics.

关键词： squeezed state solid-State circuit superconducting transmission line

Extremal Entangled Four-Qubit Pure States with Respect to Multiple Entropy Measures

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Communications in Theoretical Physics 2008年第2期49卷 329-332页

作者： LIU Dan ZHAO Xin long gui-lu Department of Physics Tsinghua University Beijing 100084 China Center of Quantum Information Science and Technology Tsinghua University Beijing 100084 China School of Science Dalian Nationalities University Dalian 116600 China Key Laboratory for Atomic and Molecular Nano-Sciences Tsinghua University Beijing 100084 China

Four-qubit entanglement has been investigated using a recent proposed entanglement measure, multiple entropy measures （MEMS）. We have performed optimization for the nine different families of states of four-qubit sy... 详细信息

关键词： four-qubit entanglement multiple entanglement measures

Allowable Generalized Quantum Gates

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Communications in Theoretical Physics 2009年第1期51卷 65-67页

作者： long gui-lu LIU Yang WANG Chuan Key Laboratory for Atomic and Modecular Sciences and Department of Physics Tsinghua University Beijing 100084 China Tsinghua National Laboratory for Information Science and Technology Tsinghua University Beijing 100084 China

In this paper, we give the most general duality gates, or generalized quantum gates in duality quantum computers. Here we show by explicit construction that a n-bit duality quantum computer with d slits can be simulated perfectly with an ordinary quantum computer with n qubits and one auxiliary qudit. Using this model, we give the most general form of duality gates which is of the form ∑i=0^d-1piUi,and the pi ＇s are complex numbers with module less or equal to 1 and constrained by｜∑iPi｜≤1.

关键词： duality computer duality quantum computer duality computing mode

No-relationship Between Impossibility of Faster-Than-Light Quantum Communication and Distinction of Ensembles with the Same Density Matrix

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Communications in Theoretical Physics 2005年第4X期44卷 622-624页

作者： WANG Chuan long gui-lu SUN Yang Department of Physics and Key Laboratory for Quantum Information and Measurements Tsinghua University Beijing 100084 China Key Laboratory for Atomic and Molecular NanoSciences Tsinghua University Beijing 100084 China Department of Physics University of Notre Dame Notre Dame Indiana 46556 USA

It has been claimed in the literature that impossibility of faster-than-light quantum communication has an origin of indistinguishability of ensembles with the same density matrix. We show that the two concepts are not *** argue that even with an ideal single-atom-precision measurement, it is generally impossible to produce two ensembles with exactly the same density matrix; or to produce ensembles with the same density matrix, classical communication is necessary. Hence the impossibility of faster-than-light communication does not imply the indistinguishability of ensembles with the same density matrix.

关键词： faster-than-light communication distinction of ensembles density matrix

Creation of Entanglement with Nonlocal Operations

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Communications in Theoretical Physics 2005年第4X期44卷 625-630页

作者： ZHANG Yong CAO Wan-Cang long gui-lu Key Laboratory for Quantum Information and Measurements Department of Physics Tsinghua University Beijing 100084 China Key Laboratory for Atomic and Molecular NanoSciences Tsinghua University Beijing 100084 China Department of Physics Chifeng College Chifeng 024000 China

We discuss how to create more entanglement with nonlocal operations acting on two-particle states. For a given nonlocal operation, we find that some input states cannot produce entanglement and some produce the maximal entanglement, and find that any initial entangled states can produce more entanglement than initial product states.

关键词： nonlocal operation entanglement entropy

Secure Direct Communication Using Ensembles with the Same Compressed Density Matrix

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Communications in Theoretical Physics 2006年第3X期46卷 440-442页

作者： WANG Chuan LI Yan-Song long gui-lu Department of Physics and Key Laboratory for Quantum Information and Measurcments Tsinghua University Beijing 100084 China Key Laboratory for Atomic and Molecular Nanosciences Tsinghua University Beijing 100084 China

In this paper, a quantum secure direct communication protocol using ensembles with the same density matrix is proposed. The two communication parties can realize the message transmission using this method through a quantum channel, each bit of information can be transmitted using an ensemble and read out through global measurement. The eavesdropping behavior can be detected through the channel diagnoses.

关键词： quantum secure direct communication ensembles with the same density matrix global measurement

A new twist to the interplay between superconductivity and Kondo correlation

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Science China(Physics,Mechanics & Astronomy) 2024年第8期67卷 1-2页

作者： gui-lu long Department of Physics Tsinghua UniversityBeijing 100084China Beijing Academy of Quantum Information Sciences Beijing 100193China

Recently,Deng et al.[1] found a new twist to the intriguing physics resulting from the interplay between Kondo correlation and *** correlation [2,3] and superconductivity [4,5] are two fundamental phenomena in condens... 详细信息

关键词： Kondo twist