Complete Bell-state Analysis For Superconducting-quantum-interference-Machine Qubits With Transitionless Tracking Algorithm

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On this paper, we propose a protocol for complete Bell-state evaluation for two superconducting-quantum-interference-gadget qubits. The Bell-state analysis could be accomplished by using a sequence of microwave pulses designed by the transitionless monitoring algorithm, which is an helpful methodology in the technique of shortcut to adiabaticity. After the entire course of, the knowledge for distinguishing four Bell states will be encoded on two auxiliary qubits, whereas the Bell states keep unchanged. One can learn out the information by detecting the auxiliary qubits. Thus the Bell-state analysis is nondestructive. The numerical simulations present that the protocol possesses excessive success chance of distinguishing each Bell state with current experimental expertise even when decoherence is taken into consideration. Thus, the protocol could have potential purposes for the data readout in quantum communications and quantum computations in superconducting quantum networks. Entanglement is a fundamental idea in quantum info science. It offers possibility to test quantum nonlocality towards native hidden concept BellPhysics1 ; Greenberger ; DurPRA62 , and likewise performs a key function in varied quantum data tasks KarlssonPRA58 ; DFGPRA72 ; EkertPRL67 ; DFGPRA68 ; BennettPRL69 ; LXSPRA65 ; SYBPRA81I .



Therefore, getting ready DZJPRA74 ; DLMPRL90 , transferring WTJPRA85 ; HCYPRB83 and purifying RBCPRA90 ; PanNat410 all sorts of entangled states in several bodily systems change into hot subjects in quantum data processing (QIP). As Bell states of two qubits are simple to be obtained and manipulated, they have been employed as the data carriers in quantum communications and quantum computations EkertPRL67 ; BennettPRL69 ; BennettPRL68 . Thus when utilizing Bell states as information carriers, studying out quantum information encoded on Bell states is an indispensable task, which vastly motivated the researches on the Bell-state analysis. At the beginning, researchers mainly paid their attentions on the Bell-state analysis for polarized photons with liner optical parts MattlePRL76 ; HouwelingenPRL96 . But sadly, it have been proven by protocols VaidmanPRA59 ; CalsamigliaPRA65 that the Bell-state analysis with solely linear optical ingredient have optimum success chance of 0.5. Besides, the Bell-state evaluation often destroys the entanglement which causes the waste of physical sources. Therefore, to realize complete and nondestructive Bell-state evaluation and to use some great benefits of other physical programs, researchers have turned their attentions on Bell states in various systems by applying many new strategies, such as nonlinearities and hyperentanglement.



Until now, complete and nondestructive Bell-state evaluation for photons SYBPRA81II ; SYBPRA82 ; BarbieriPRA75 ; WTJPRA86 ; RBCOE20 ; BonatoPRL104 ; XYJOSAB31 , atoms HYCPB19 , spins inside quantum dots WHRIJTP52 ; KYHAPB119 and nitrogen-vacancy centers LJZIJTP56 have been reported. Lately, the superconducting system has been developed rather a lot, and is now deemed as a really promising candidate to implement quantum data tasks MakhlinRMP73 ; XZLRMP85 ; VionSci296 ; YYSci296 ; YCPPRL92 ; YCPPRA67 ; YCPPRA74 ; YCPPRA82 ; ClarkeNature453 ; DevoretADP16 ; YCPPRA86 ; BlaisPRA69 ; WallraffNature431 ; YCPPRA87 ; ChiorescuNature431 ; SteinbachPRL87 ; FilippPRL102 ; BialczakNP6 ; YamamotoPRB82 ; ReedPRL105 ; MajerNature449 ; DiCarloNature460 ; SchmidtADP525 ; StrauchPRL105 ; KochPRA76 , as it possesses many advantages. Superconducting qubits, including section qubits, change qubits, flux qubits, and so on., are excellent with their relatively lengthy decoherence time ClarkeNature453 and perfect scalability VionSci296 ; YYSci296 ; ChiorescuNature431 . 1) The positions of SQUID qubits in a cavity are fixed. That makes them holds superiority compared with neutral atoms, which requires to be managed the centers of mass movement in a cavity.



YCPPRL92 ; YCPPRA67 . 2) When placing SQUID qubits into a superconducting cavity, ItagPro decoherence induced because of the external setting could be tremendously suppressed for the reason that superconducting cavity could be thought of because the magnetic shield for SQUID qubits YCPPRA67 . 3) The robust-coupling restrict of the cavity QED will be simply realized for SQUID qubits embedded in a cavity, whereas it is tough to be realized with atoms YCPPRL92 . 4) The extent structure of every individual SQUID qubit will be adjusted easily YCPPRL92 . The great benefits of SQUID qubits make them engaging choices to implement quantum data tasks. So far, SQUID qubits have been extensively utilized in entanglement preparations YCPPRL92 ; YCPPRA67 ; DZJPRA74 ; SKHPRA75 , info transfers YCPPRL92 ; YCPPRA67 , logic gates YCPPRA67 . However, Bell-state analysis for SQUID qubits still has lots room for researches. Then again, when choosing superconducting system because the platform for ItagPro QIP, an ineluctable question is to design microwave pulses driving superconducting qubits to complete varied operations.