411 research outputs found
Quantum Conference
A notion of quantum conference is introduced in analogy with the usual notion
of a conference that happens frequently in today's world. Quantum conference is
defined as a multiparty secure communication task that allows each party to
communicate their messages simultaneously to all other parties in a secure
manner using quantum resources. Two efficient and secure protocols for quantum
conference have been proposed. The security and efficiency of the proposed
protocols have been analyzed critically. It is shown that the proposed
protocols can be realized using a large number of entangled states and group of
operators. Further, it is shown that the proposed schemes can be easily reduced
to protocol for multiparty quantum key distribution and some earlier proposed
schemes of quantum conference, where the notion of quantum conference was
different.Comment: 12 pages, 1 figur
Universality in Distribution of Monogamy Scores for Random Multiqubit Pure States
Monogamy of quantum correlations provides a way to study restrictions on
their sharability in multiparty systems. We find the critical exponent of these
measures, above which randomly generated multiparty pure states satisfy the
usual monogamy relation, and show that the critical power decreases with the
increase in the number of parties. For three-qubit pure states, we detect that
W-class states are more prone to being nonmonogamous as compared to the
GHZ-class states. We also observe a different criticality in monogamy power up
to which random pure states remain nonmonogamous. We prove that the "average
monogamy" score asymptotically approaches its maximal value on increasing the
number of parties. Analyzing the monogamy scores of random three-, four-, five-
and six-qubit pure states, we also report that almost all random pure six-qubit
states possess maximal monogamy score, which we confirm by evaluating
statistical quantities like mean, variance and skewness of the distributions.
In particular, with the variation of number of qubits, means of the
distributions of monogamy scores for random pure states approach to unity --
which is the algebraic maximum -- thereby conforming to the known results of
random states having maximal multipartite entanglement in terms of geometric
measures.Comment: 12 pages, 7 figure
Bounds on entanglement distillation and secret key agreement for quantum broadcast channels
The squashed entanglement of a quantum channel is an additive function of
quantum channels, which finds application as an upper bound on the rate at
which secret key and entanglement can be generated when using a quantum channel
a large number of times in addition to unlimited classical communication. This
quantity has led to an upper bound of on the capacity
of a pure-loss bosonic channel for such a task, where is the average
fraction of photons that make it from the input to the output of the channel.
The purpose of the present paper is to extend these results beyond the
single-sender single-receiver setting to the more general case of a single
sender and multiple receivers (a quantum broadcast channel). We employ
multipartite generalizations of the squashed entanglement to constrain the
rates at which secret key and entanglement can be generated between any subset
of the users of such a channel, along the way developing several new properties
of these measures. We apply our results to the case of a pure-loss broadcast
channel with one sender and two receivers.Comment: 35 pages, 1 figure, accepted for publication in IEEE Transactions on
Information Theor
Experimental realization of Dicke states of up to six qubits for multiparty quantum networking
We report the first experimental generation and characterization of a
six-photon Dicke state. The produced state shows a fidelity of F=0.56+/-0.02
with respect to an ideal Dicke state and violates a witness detecting genuine
six-qubit entanglement by four standard deviations. We confirm characteristic
Dicke properties of our resource and demonstrate its versatility by projecting
out four- and five-photon Dicke states, as well as four-photon GHZ and W
states. We also show that Dicke states have interesting applications in
multiparty quantum networking protocols such as open-destination teleportation,
telecloning and quantum secret sharing.Comment: 4 pages, 4 figures, RevTeX
Continuous variable controlled quantum dialogue and secure multiparty quantum computation
A continuous variable controlled quantum dialogue scheme is proposed. The
scheme is further modified to obtain two other protocols of continuous variable
secure multiparty computation. The first one of these protocols provides a
solution of two party socialist millionaire problem, while the second protocol
provides a solution for a special type of multi-party socialist millionaire
problem which can be viewed as a protocol for multiparty quantum private
comparison. It is shown that the proposed scheme of continuous variable
controlled quantum dialogue can be performed using bipartite entanglement and
can be reduced to obtain several other two and three party cryptographic
schemes in the limiting cases. The security of the proposed scheme and its
advantage over corresponding discrete variable counterpart are also discussed.
Specifically, the ignorance of an eavesdropper in the proposed scheme is shown
to be very high compared with corresponding discrete variable scheme and thus
the present scheme is less prone to information leakage inherent with the
discrete variable quantum dialogue based schemes.It is further established that
the proposed scheme can be viewed as a continuous variable counterpart of
quantum cryptographic switch which allows a supervisor to control the
information transferred between the two legitimate parties to a continuously
varying degree.Comment: Quantum dialogue and its application in the continuous variable
scenario is studied in detai
Semi-quantum communication: Protocols for key agreement, controlled secure direct communication and dialogue
Semi-quantum protocols that allow some of the users to remain classical are
proposed for a large class of problems associated with secure communication and
secure multiparty computation. Specifically, first time semi-quantum protocols
are proposed for key agreement, controlled deterministic secure communication
and dialogue, and it is shown that the semi-quantum protocols for controlled
deterministic secure communication and dialogue can be reduced to semi-quantum
protocols for e-commerce and private comparison (socialist millionaire
problem), respectively. Complementing with the earlier proposed semi-quantum
schemes for key distribution, secret sharing and deterministic secure
communication, set of schemes proposed here and subsequent discussions have
established that almost every secure communication and computation tasks that
can be performed using fully quantum protocols can also be performed in
semi-quantum manner. Further, it addresses a fundamental question in context of
a large number problems- how much quantumness is (how many quantum parties are)
required to perform a specific secure communication task? Some of the proposed
schemes are completely orthogonal-state-based, and thus, fundamentally
different from the existing semi-quantum schemes that are
conjugate-coding-based. Security, efficiency and applicability of the proposed
schemes have been discussed with appropriate importance.Comment: 19 pages 1 figur
Quantum e-commerce: A comparative study of possible protocols for online shopping and other tasks related to e-commerce
A set of quantum protocols for online shopping is proposed and analyzed to
establish that it is possible to perform secure online shopping using different
types of quantum resources. Specifically, a single photon based, a Bell state
based and two 3-qubit entangled state based quantum online shopping schemes are
proposed. The Bell state based scheme, being a completely orthogonal state
based protocol, is fundamentally different from the earlier proposed schemes
which were based on conjugate coding. One of the 3-qubit entangled state based
scheme is build on the principle of entanglement swapping which enables us to
accomplish the task without transmission of the message encoded qubits through
the channel. Possible ways of generalizing the entangled state based schemes
proposed here to the schemes which use multiqubit entangled states is also
discussed. Further, all the proposed protocols are shown to be free from the
limitations of the recently proposed protocol of Huang et al. (Quantum Inf.
Process. 14, 2211-2225, 2015) which allows the buyer (Alice) to change her
order at a later time (after initially placing the order and getting it
authenticated by the controller). The proposed schemes are also compared with
the existing schemes using qubit efficiency.Comment: It's shown that quantum e-commerce is not a difficult task, and it
can be done in various way
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