We have shown in detail a scheme of controlled quantum teleportation of arbitrary two-qubit state via the five-qubit channel which is 30 of 32 measurements of Alice and Charlie give unitary transformations of Bob in positive and negative pairs, the two others are free and different.
ABSTRAK Pada artikel ini, teleportasi kuantum satu qubit dengan empat keadaan Bell sebagai kanal kuantum telah dikaji secara eksplisit. Empat keadaan Bell yang digunakan dinyatakan dalam bentuk kompak. Hasil kajian menunjukkan bahwa teleportasi kuantum satu qubit dengan empat keadaan Bell dapat dilakukan untuk mengirim informasi kuantum dari pengirim (Alice) ke penerima (Bob) setelah hasil pengukuran oleh Alice dikirim melalui kanal klasik. Untuk hasil pengukuran , dan dari setiap keadaan Bell , , pada persamaan 1, terdapat satu kemungkinan di mana Bob tidak perlu melakukan transformasi uniter untuk merekonstruksi qubitnya dan selebihnya Bob perlu melakukan transformasi uniter. Untuk keadaan Bell , Bob perlu melakukan transformasi uniter pada qubitnya dari setiap hasil pengukuran Alice. Kata kunci—Keadaan Bell, qubit, teleportasi kuantum. ABSTRACT In this article, one-qubit quantum teleportation with four Bell states as quantum channel has been studied explicitly. Four Bell states used are expressed in compact form. The result of study shown that one-qubit teleportation quantum with four Bell states can be carried out to send quantum information from the sender (Alice) to the receiver (Bob) after Alice’s measurement results are send via classical channel. For the measurement results are , dan from each Bell state , , in equation 1, there is one possibilty where Bob does not need to perform a unitary transformation to reconstruct his qubit and the rest Bob needs to perform a unitary transformation. For Bell state , Bob needs to perform a unitary transformation on his qubit from each of Alice’s measurements. Keywords—Bell state, qubit, quantum teleportation.
Telah dilakukan perumusan umum teleportasi kuantum qubit tunggal sembarang melalui saluran (canal) qubit ganda. Teleportasi kuantum dapat dilakukan dengan menggunakan saluran berupa keadaan terbelit (entangle state). Perumusan teleportasi yang pertamakali dirumuskan oleh Charles H Bannett pada tahun 1993 hanya menggunakan saluran yang sederhana, berupa pasangan EPR (EPR pair). Pada tugas akhir ini saluran yang digunakan adalah semua keadaan terbelit qubit ganda.Pekerjaan utama pada tugas akhir ini adalah menentukan semua keadaan terbelit qubit ganda yang dapat mengirimkan informasi berupa qubit tunggal. Selain itu digunakan metode Gram–Schmidt decomposition untuk menentukan keterbelitan suatu keadaan. Pada tugas akhir ini didapat kesimpulan bahwa semua keadaan terbelit umum qubit ganda dapat menteleportasi qubit tunggal sembarang.
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A general equation has been formulated for single arbitrary qubit quantum teleportation through double qubit canal. Quantum teleportation can achieved by using canal with entangled state. The first teleportation equation was done by Charles H Bannett in 1993, using simple canal in
form of EPR pair. In this thesis, all double qubit canals with entangled state is used. The main task of this thesis is to determine all states of entangled qubit that can be used to send single qubit information. Gram–Schmidt decomposition also used to determine entanglement of a state. From this thesis, it can be concluded the all general entangled state of double qubit can be used to teleport single arbitrary qubit.
Pada tugas akhir ini telah dirumuskan persamaan umum teleportasi keadaan dua qubit melalui keadaan terbelit tiga qubit, dan diketahui keadaan informasi yang dapat dikirim, serta keadaan terbelit yang dipakai. Perumusan digunakan informasi dua qubit sembarang dan dua qubit khusus. Keadaan dua qubit sembarang tidak dapat dikirim dengan keadaan terbelit tiga qubit (GHZ, W dan tiga qubit sembarang). Keadaan informasi dua qubit khusus dapat dikirim dengan keadaan terbelit tiga qubit. Pengiriman semua informasi khusus dua qubit dengan dua suku dapat terkirim. Pengiriman informasi khusus dua qubit dengan tiga suku dapat terkirim jika ada nilai konstanta suku yang sama. Pengiriman informasi khusus dua qubit dengan empat suku dapat terkirim jika hanya ada dua nilai konstanta. Pengiriman informasi khusus dua qubit dengan dua suku keadaan murni terbelit menggunakan keadaan murni terbelit. Pengiriman informasi khusus dua qubit dengan dua suku keadaan unentangled menggunakan saluran yang entangled sabagian.
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In this final project, a general equation has been
formulated for two qubit teleportation from three qubit
entangled state, and the state of information that can be sent, along with entangled state used. The formulization use information from two arbitrary qubit an two special qubit. State information of two qubit arbitrary qubit can not be sent from three qubit entangled state (GHZ, W, three qubit arbitraty). State information of two spacial qubit can be sent using three qubit entangled state.
The transmission of all spacial information from two qubit with two part can be achived. The transmission of spacial information from two qubit with three parts can be achived if there are constants of similar part. The transmission of spacial information from two qubit with four parts can be archived if there are two constants.
The transmission of spacial information from two qubit with two part ofe pure entangled state use pure entangled. The transmission of spacial information from two qubit with two part of untangled state use partialy entangled state.
Controlled quantum teleportation involves a third party as a controller for the teleportation of state. Here, we present the novel protocols for controlling teleportation of the arbitrary two-qubit and three-qubit states through five-qubit and seven-qubit cluster states respectively. In these schemes, Alice sends the arbitrary qubit states to the remote receiver Bob through the cluster states as quantum channels under the control of Charlie. Bob can recover the mentioned states by making appropriate unitary operations, and we point out that the efficiency in our schemes is 100%. In the process of our analysis, we find the classical communication cost in our protocols is remarkably reduced when compared to the previous protocols. We perform the experimental realization of the above protocols on "IBM 16 Melbourne" quantum computer and "IBM quantum simulator" and we calculate the fidelity. We also examine the security analysis against Charlie, and these schemes which we considered here are secure against Charlie's attacks.
Since the first protocol of quantum teleportation based on an EPR pair was presented by Bennett et al. in 1993, it has become a hot topic in quantum communication. It is known that entanglement plays a key role in quantum teleportation. Various schemes of controlled quantum teleportation and bidirectional controlled quantum teleportation have been developed by using all kinds of multi-parties entangled states as a quantum channel, e.g. GHZ states, W states, 5-qubit cluster states, 6-qubit cluster states, 7-qubit cluster states, maximally entangled 5-qubit states, maximally entangled 6-qubit states, genuine entangled 6-qubit states, genuine entangled 7-qubit states, genuine entangled 8-qubit states. In this paper, a genuine entangled 9-qubit state is used as channel of quantum teleportation, and two schemes of bidirectional controlled quantum teleportation are proposed. One scheme is that with the control of Charlie Alice can transmit an arbitrary unknown qubit state to Bob and Bob can transmit an arbitrary unknown 3-qubit state to Alice in the same time. Another scheme is that with the control of Charlie Alice and Bob can transmit an arbitrary unknown 2-qubit to each other simultaneously. Compared with the existed schemes, our scheme can transmit more qubits of arbitrary state in total by an entangled state, and the intrinsic efficiency of our scheme is maybe the best. Moreover, the genuine entangled 9-qubit state used in our scheme can be produced through some simple quantum unitary gates.
A new application of the five-qubit cluster state is investigated for economic and simple controlled teleportation of an arbitrary two-qubit state.In this scheme,a five-qubit cluster state is shared by a sender(Alice),a controller(Charlie)and a receiver(Bob),and the sender only needs to perform Bell-state measurements and the controller performs a single-qubit projective measurement.The receiver can reconstruct the arbitrary two-qubit state by performing some appropriate unitary transformations on his qubits after he knows the measured results of both the sender and the controller.This controlled teleportation scheme is deterministic,and the probability of successful controlled teleportation is 100%.In comparison with the controlled teleportation scheme using the same quantum channel,the proposed scheme do not need to make multi-particle joint measurement that makes this scheme simpler.