NDLI: A Scheme for Physical Implementation of a Ququadrit Quantum Computation with Cooled-Trapped Ions

Content Provider	Springer Nature Link
Author	Chen, Chang yong Gao, Ke lin
Copyright Year	2005
Abstract	The physics realization of a ququadrit quantum computation with cooled trapped $^{138}$Ba$^{+}$ ions in a Paul trap is investigated. The ground state level 6$^{2}$ S$_{1/2}$(m = −1/2) and three metastable levels: 5$^{2}$ D$_{3/2}$(m = −1/2), 5$^{2}$ D$_{5/2}$(m = −1/2), and 5$^{2}$ D$_{5/2}$(m = 1/2), of the fine-structure of the $^{138}$Ba$^{+}$ ion, are used to store the quantum information of ququadrits. The use of coherent manipulation of populations in single ququadrit, being a four-dimensional Hilbert space, produces a discrete Fourier transform and the manipulation of the first red band transitions with the introduction of an ancillary quantum channel between two ququadrits generates a conditional phase gate. The combination of the both above results in a universal two-ququadrit gate, called XOR$^{(4)}$ gate corresponding to the controlled-NOT gate operation in qubit systems. The implementation of quantum Fourier transform for n ququadrits is performed by means of the conditional phase-shift gate. The feasibility of physical realization of ququadrit quantum computation with cooled-trapped $^{138}$Ba$^{+}$ ions is detailed analyzed and described, and the theoretical detection method of logical states is given. Higher entanglement between ququadrits than qutrits or qubits and more security of ququadrit quantum cryptography than qutrit's or qutrit's will lead to more extensive applications ququadrits in quantum information fields. In particular, it is pointed out that this scheme should be the highest dimensional quantum computation in cooled-trapped ions, the entanglement between ququadrits should be the highest dimensional entanglement in it, and the ququadrit quantum cryptography should be the most secure cryptography protocol in it.
Starting Page	1177
Ending Page	1191
Page Count	15
File Format	PDF
ISSN	00207748
Journal	International Journal of Theoretical Physics
Volume Number	44
Issue Number	8
e-ISSN	15729575
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	2005-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	ququadrit entanglement fourier quantum transformation raman transition Physics Quantum Physics Mathematical and Computational Physics Elementary Particles, Quantum Field Theory
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mathematics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Quantum Entanglement of Many Particles in Spinor Bose–Einstein Condensates

Simple Scheme for Dynamical Preparation of Spin Squeezed State of Trapped Ions

A Macroscopic Device for Quantum Computation

Quantum Entanglement Under Lorentz Transformation

Entanglement Swapping and Detection in the Trapped-Ion Systems

Degradation of Entanglement in Moving Frames

Quantum Authentication Scheme Based on Entanglement Swapping

Revisiting Quantum Authentication Scheme Based on Entanglement Swapping

Trapped Fermions in Gravitational Field

A Scheme for Physical Implementation of a Ququadrit Quantum Computation with Cooled-Trapped Ions

Similar Documents

Quantum Entanglement of Many Particles in Spinor Bose–Einstein Condensates

Simple Scheme for Dynamical Preparation of Spin Squeezed State of Trapped Ions

A Macroscopic Device for Quantum Computation

Quantum Entanglement Under Lorentz Transformation

Entanglement Swapping and Detection in the Trapped-Ion Systems

Degradation of Entanglement in Moving Frames

Quantum Authentication Scheme Based on Entanglement Swapping

Revisiting Quantum Authentication Scheme Based on Entanglement Swapping

Trapped Fermions in Gravitational Field

A Scheme for Physical Implementation of a Ququadrit Quantum Computation with Cooled-Trapped Ions