New quantum private comparison protocol using EPR pairs

Tseng, Hsin-Yi; Lin, Jason; Hwang, Tzonelih

doi:10.1007/s11128-011-0251-0

Cited by 193 publications

(112 citation statements)

References 65 publications

Supporting

Mentioning

109

Contrasting

Order By: Relevance

“…This process is known as collective noise 17,18 , with the assumption that the time variations of the noise is greater than the photons travelling time within a particular time window. Collective noise model is described by the following two types of noises 19 , U dp is known as the unitary operator for collective-dephasing and U r is the unitary perator for collective-rotation noise.…”

Section: Effect Of the Collective Noise On The Qkd Protocolmentioning

confidence: 99%

Effect of Noise on Practical Quantum Communication Systems

Sharma¹

2016

Def. Sc. Jl.

View full text Add to dashboard Cite

Entanglement is an important resource for various applications of quantum computation. Another important endeavor is to establish the role of entanglement in practical implementation where system of interest is affected by various kinds of noisy channels. Here, a single classical bit is used to send information under the influence of a noisy quantum channel. The entanglement content of quantum states is computed under noisy channels such as amplitude damping, phase damping, squeesed generalised amplitude damping, Pauli channels and various collective noise models on the protocols of quantum key distribution.Keywords: Entanglement, quantum noise, markov process, optical-fiber, optical communication The operators which fulfill the criteria from Eqn.(1) to (3) is essentially considered under noisy channel condition. Similarly, for two transmissions through the channel the Kraus operator representation is as follows . This encoding is performed on the transmitted bit sent to Bob. After this, Alice sends these states via channel. Bob uses the action of the channel given in Eqn. (4) to get output in one of the two possible operators 0 R and 1 R at the receiving end. ( ) Tr R E s b is the probability value in Bob's measurement, which depends on the bit value sent by Alice and the method of maximum likelihood that depends on the values of bits b and s to make ( ) Tr R E s b maximum. The average error probability is written asBob performs von Neumann measurement to get P e minimum, henceConcurrence is used to measure the entanglement amount, the entanglement strength and considered as an independent entanglement measure. Concurrence for a pure state ψ with bipartite two-level systems is defined ashere * ψ is the complex conjugate of pure state ψ , 2 σ is the Pauli y-matrix defined as. Concurrence for a given mixed state is written ashere i λ represents decreasing eigenvalues of the Hermitian matrix R = r r r  and ( ) ( ). THE EFFECT OF VARIOUS KINDS OF NOISES ON THE QUANTUM STATESHere we consider only some specific noise models like amplitude damping, phase-damping and two types of collective noises for the interaction with the quantum states transmitting between Alice and Bob. We follow the method used 13 for the information transfer under noisy environment. let the quantum density state is r = ψ ψ , here ψ is any n qubit initial pure quantum state before transmission. Under noisy conditions the transmitted pure state evolves as follows:where k E i j denotes Kraus operator for specific type of noisy channel under consideration applied on desired qubit of the travelling quantum state. The evolution of density matrix undercollective noise models can be written ashere k represents type of noisy channel used, and U i is a 2 x 2 matrix (it works on a single qubit) for collective dephasing andcollective rotation noises. After obtaining the transformed density matrix k r , the normalization can be achieved by calculating the trace to be 1. We can make it one by dividing it by the trace of the transformed matrix k r ....

show abstract

Section: Effect Of the Collective Noise On The Qkd Protocolmentioning

confidence: 99%

Effect of Noise on Practical Quantum Communication Systems

Sharma¹

2016

Def. Sc. Jl.

View full text Add to dashboard Cite

show abstract

“…The first QPC protocol is proposed by Yang et al [28,29] using Einstein-Podolsky-Rosen (EPR) pairs. Since then many QPC protocols have been proposed [28][29][30][31][32][33][34][35][36][37]. Most of them employed entangled states, including GHZ states and Bell states.…”

Section: Introductionmentioning

confidence: 99%

A Quantum Private Comparison Protocol with Splitting Information Carriers

et al. 2014

View full text Add to dashboard Cite

Based on quantum information splitting and reconstruction, we present a quantum private comparison (QPC) protocol, enabling two distrustful parties (Alice and Bob) to compare the equality of their information without revealing the information content. In this protocol, the information carriers are split into two wave packets by a beam splitter (BS), which is owned by a semi-honest third party Trent, and then they are sent to Alice and Bob, respectively. Alice and Bob encodes their secret information on the received wave packets. Only the superimposition of the two wave packets in Trent's site can reveal the compared result. Compared with the QPC protocols using entangled states, the information carriers used in our protocol is single-photon pulse, which reduces the difficulty of realization in practical. In addition, our protocol is feasible with the present techniques since only linear optical components, BS, single-photon detector, phase shifter (PS) and switcher (SWT) are required. The security of the protocol is ensured by principles on the phenomenon of quantum interference. And through the security analysis it shows that the protocol is secure and resists against the well-known attacks.

show abstract

“…This protocol included a semi-honest TP. In [28], Tseng et al proposed a new quantum private comparison protocol using EPR pairs. And this protocol provided easier implementation as well as better qubit efficiency than the other QPCs.…”

Section: Introductionmentioning

confidence: 99%

“…Enlightened by the works of [26][27][28][29][30], we proposed a new protocol for dealing with the private comparison of equal information based on χ -type state…”

Section: Introductionmentioning

confidence: 99%

“…We also need to perform the Pauli operation on particles to encode information and don't need to use the entangled character of four-particle χ -type state. Similar to some previous protocols [26][27][28][29][30], our protocol includes a semi-honest TP. The role of TP is to execute the protocol loyally and record all the results of its intermediate computations.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

New Quantum Private Comparison Protocol Using χ-Type State

Wang

Jiang

et al. 2012

Int J Theor Phys

View full text Add to dashboard Cite

We present a new quantum private comparison protocol based on the four-particle χ -type states. Different from previous protocols using the four-particle χ -type states, our protocol have some advantages. Without using the entangled character, we only need to prepare one type of χ -type state and N χ-type states. And we use the Pauli local unitary operation on particles to encode the information and to extract information by measurement. We also discuss that our protocol can withstand all various kinds of outside attacks and participant attacks.

show abstract

New quantum private comparison protocol using EPR pairs

Cited by 193 publications

References 65 publications

Effect of Noise on Practical Quantum Communication Systems

Effect of Noise on Practical Quantum Communication Systems

A Quantum Private Comparison Protocol with Splitting Information Carriers

New Quantum Private Comparison Protocol Using χ-Type State

Contact Info

Product

Resources

About