5,547 research outputs found
Generalized Remote Preparation of Arbitrary -qubit Entangled States via Genuine Entanglements
Herein, we present a feasible, general protocol for quantum communication
within a network via generalized remote preparation of an arbitrary -qubit
entangled state designed with genuine tripartite
Greenberger--Horne--Zeilinger-type entangled resources. During the
implementations, we construct novel collective unitary operations; these
operations are tasked with performing the necessary phase transfers during
remote state preparations. We have distilled our implementation methods into a
five-step procedure, which can be used to faithfully recover the desired state
during transfer. Compared to previous existing schemes, our methodology
features a greatly increased success probability. After the consumption of
auxiliary qubits and the performance of collective unitary operations, the
probability of successful state transfer is increased four-fold and eight-fold
for arbitrary two- and three-qubit entanglements when compared to other methods
within the literature, respectively. We conclude this paper with a discussion
of the presented scheme for state preparation, including: success
probabilities, reducibility and generalizability.Comment: 16 pages, 3 figures, 3 tables, Accepted to Entrop
Controlled bidirectional remote state preparation in noisy environment: A generalized view
It is shown that a realistic, controlled bidirectional remote state
preparation is possible using a large class of entangled quantum states having
a particular structure. Existing protocols of probabilistic, deterministic and
joint remote state preparation are generalized to obtain the corresponding
protocols of controlled bidirectional remote state preparation (CBRSP). A
general way of incorporating the effects of two well known noise processes, the
amplitude-damping and phase-damping noise, on the probabilistic CBRSP process
is studied in detail by considering that noise only affects the travel qubits
of the quantum channel used for the probabilistic CBRSP process. Also indicated
is how to account for the effect of these noise channels on deterministic and
joint remote state CBRSP protocols.Comment: 11 pages, 2 figure
A General Method for Selecting Quantum Channel for Bidirectional Controlled State Teleportation and Other Schemes of Controlled Quantum Communication
Recently, a large number of protocols for bidirectional controlled state
teleportation (BCST) have been proposed using -qubit entangled states
() as quantum channel. Here, we propose a general method of
selecting multi-qubit quantum channels suitable for BCST and show that
all the channels used in the existing protocols of BCST can be obtained using
the proposed method. Further, it is shown that the quantum channels used in the
existing protocols of BCST forms only a negligibly small subset of the set of
all the quantum channels that can be constructed using the proposed method to
implement BCST. It is also noted that all these quantum channels are also
suitable for controlled bidirectional remote state preparation (CBRSP).
Following the same logic, methods for selecting quantum channels for other
controlled quantum communication tasks, such as controlled bidirectional joint
remote state preparation (CJBRSP) and controlled quantum dialogue, are also
provided.Comment: 8 pages, no figur
Multi-party zero-error classical channel coding with entanglement
We study the effects of quantum entanglement on the performance of two
classical zero-error communication tasks among multiple parties. Both tasks are
generalizations of the two-party zero-error channel-coding problem, where a
sender and a receiver want to perfectly communicate messages through a one-way
classical noisy channel. If the two parties are allowed to share entanglement,
there are several positive results that show the existence of channels for
which they can communicate strictly more than what they could do with classical
resources. In the first task, one sender wants to communicate a common message
to multiple receivers. We show that if the number of receivers is greater than
a certain threshold then entanglement does not allow for an improvement in the
communication for any finite number of uses of the channel. On the other hand,
when the number of receivers is fixed, we exhibit a class of channels for which
entanglement gives an advantage. The second problem we consider features
multiple collaborating senders and one receiver. Classically, cooperation among
the senders might allow them to communicate on average more messages than the
sum of their individual possibilities. We show that whenever a channel allows
single-sender entanglement-assisted advantage, then the gain extends also to
the multi-sender case. Furthermore, we show that entanglement allows for a
peculiar amplification of information which cannot happen classically, for a
fixed number of uses of a channel with multiple senders.Comment: Some proofs have been modifie
Hierarchical Joint Remote State Preparation in Noisy Environment
A novel scheme for quantum communication having substantial applications in
practical life is designed and analyzed. Specifically, we have proposed a
hierarchical counterpart of the joint remote state preparation (JRSP) protocol,
where two senders can jointly and remotely prepare a quantum state. One sender
has the information regarding amplitude, while the other one has the phase
information of a quantum state to be jointly prepared at the receiver's port.
However, there exists a hierarchy among the receivers, as far as powers to
reconstruct the quantum state is concerned. A 5-qubit cluster state has been
used here to perform the task. Further, it is established that the proposed
scheme for hierarchical JRSP (HJRSP) is of enormous practical importance in
critical situations involving defense and other sectors, where it is essential
to ensure that an important decision/order that can severely affect a society
or an organization is not taken by a single person, and once the order is
issued all the receivers don't possess an equal right to implement it. Further,
the effect of different noise models (e.g., amplitude damping (AD), phase
damping (PD), collective noise and Pauli noise models) on the HJRSP protocol
proposed here is investigated. It is found that in AD and PD noise models a
higher power agent can reconstruct the quantum state to be remotely prepared
with higher fidelity than that done by the lower power agent(s). In contrast,
the opposite may happen in the presence of collective noise models. We have
also proposed a scheme for probabilistic HJRSP using a non-maximally entangled
5-qubit cluster state.Comment: 24 pages, 6 figure
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