Bell-basis Measurement Research Articles

Semi-quantum protocol for deterministic secure quantum communication using Bell states

Based on Bell states, this paper proposes a semi-quantum protocol enabling the limited semi-quantum or “classical” user Bob to transmit the secret message to a fully quantum Alice directly. A classical user is restricted to measure, prepare, reorder and send quantum states only in the classical basis \( \{ \left| 0 \right\rangle ,\left| 1 \right\rangle \} \). The protocol must rely on the quantum Alice to produce Bell states, perform Bell basis measurement and store qubits, but the classical party Bob does not require quantum memory. Security and efficiency of the proposed schemes have been discussed. The analysis results show that the protocol is secure against some eavesdropping attacks and the qubit efficiency of the protocol is higher than the other related semi-quantum protocols.

Quantum Private Comparison Based on χ-Type Entangled States

A two-party quantum private comparison (QPC) protocol is constructed with χ-type entangled states in this paper. The proposed protocol employs a semi-honest third party (TP) that is allowed to misbehave on his own but cannot conspire with the adversary. The proposed protocol need perform Bell basis measurements and single-particle measurements but neither unitary operations nor quantum entanglement swapping technology. The proposed protocol possesses good security toward both the outside attack and the participant attack. TP only knows the comparison result of the private information from two parties in the proposed protocol.

Multilayer quantum secret sharing based on GHZ state and generalized Bell basis measurement in multiparty agents

A multilayer quantum secret sharing protocol based on GHZ state is proposed. Alice has the secret carried by quantum state and wants to distribute this secret to multiple agent nodes in the network. In this protocol, the secret is transmitted and shared layer by layer from root Alice to layered agents. The number of agents in each layer is a geometric sequence with a specific common ratio. By sharing GHZ maximally entangled states and making generalized Bell basis measurement, one qubit state can be distributed to multiparty agents and the secret is shared. Only when all agents at the last layer cooperate together, the secret can be recovered. Compared with other protocols based on the entangled state, this protocol adopts layered construction so that secret can be distributed to more agents with fewer particles GHZ state. This quantum secret sharing protocol can be used in wireless network to ensure the security of information delivery.

A general method of controlled bidirectional quantum teleportation of qudit state

Based on tensor representation and d-dimensional Bell basis measurements, we obtained a necessary condition for realizing controlled bidirectional quantum teleportation of qudit states. To verify its theoretical feasibility, we further give a general and simple method of selecting quantum channels for teleporting the ququart state.

New quantum dialogue protocol based on continuous-variable two-mode squeezed vacuum states

A new quantum dialogue protocol is designed by using the continuous-variable two-mode squeezed vacuum states due to its entanglement property. The two communication parties encode their own secret information into the entangled optical modes with the translation operations. Each communication party could deduce the secret information of their counterparts with the help of his or her secret information and the Bell-basis measurement results. The security of the proposed quantum dialogue protocol is guaranteed by the correlation between two-mode squeezed vacuum states and the decoy states performed with translation operations in randomly selected time slots. Compared with the discrete variable quantum dialogue protocols, the proposed continuous-variable quantum dialogue protocol is easy to realize with perfect utilization of quantum bits.

Multi-Party Quantum Private Comparison Protocol Based on Entanglement Swapping of Bell Entangled States**Supported by the National Natural Science Foundation of China under Grant No. 61402407

Recently, Liu et al. proposed a two-party quantum private comparison (QPC) protocol using entanglement swapping of Bell entangled state (Commun. Theor. Phys. 57 (2012) 583). Subsequently Liu et al. pointed out that in Liu et al.'s protocol, the TP can extract the two users' secret inputs without being detected by launching the Bell-basis measurement attack, and suggested the corresponding improvement to mend this loophole (Commun. Theor. Phys. 62 (2014) 210). In this paper, we first point out the information leakage problem toward TP existing in both of the above two protocols, and then suggest the corresponding improvement by using the one-way hash function to encrypt the two users' secret inputs. We further put forward the three-party QPC protocol also based on entanglement swapping of Bell entangled state, and then validate its output correctness and its security in detail. Finally, we generalize the three-party QPC protocol into the multi-party case, which can accomplish arbitrary pair's comparison of equality among K users within one execution.

A noise immunity controlled quantum teleportation protocol

With the advent of the Internet and information and communication technology, quantum teleportation has become an important field in information security and its application areas. This is because quantum teleportation has the ability to attain a timely secret information delivery and offers unconditional security. And as such, the field of quantum teleportation has become a hot research topic in recent years. However, noise has serious effect on the safety of quantum teleportation within the aspects of information fidelity, channel capacity and information transfer. Therefore, the main purpose of this paper is to address these problems of quantum teleportation. Firstly, in order to resist collective noise, we construct a decoherence-free subspace under different noise scenarios to establish a two-dimensional fidelity quantum teleportation models. And also create quantum teleportation of multiple degree of freedom, and these models ensure the accuracy and availability of the exchange of information and in multiple degree of freedom. Secondly, for easy preparation, measurement and implementation, we use super dense coding features to build an entangled quantum secret exchange channel. To improve the channel utilization and capacity, an efficient super dense coding method based on ultra-entanglement exchange is used. Thirdly, continuous variables of the controlled quantum key distribution were designed for quantum teleportation; in addition, we perform Bell-basis measurement under the collective noise and also prepare the storage technology of quantum states to achieve one-bit key by three-photon encoding to improve its security and efficiency. We use these two methods because they conceal information, resist a third party attack and can detect eavesdropping. Our proposed methods, according to the security analysis, are able to solve the problems associated with the quantum teleportation under various noise environments.

Quantum Private Comparison of Equal Information Based on Highly Entangled Six-Qubit Genuine State**Supported by National Natural Science Foundation of China under Grant No. 61402407

Using the highly entangled six-qubit genuine state we present a quantum private comparison (QPC) protocol, which enables two users to compare the equality of two bits of their secrets in every round comparison with the assistance of a semi-honest third party (TP). The proposed protocol needs neither unitary operations nor quantum entanglement swapping technology, both of which may consume expensive quantum devices. Single particle measurements and Bell-basis measurements, which are easy to implement with current technologies, are employed by two users and TP in the proposed protocol, respectively. The proposed protocol can withstand all kinds of outside attacks and participant attacks. Moreover, none of information about the two users' private secrets and the comparison result is leaked out to TP.

Quantum Information Splitting of a Three-Qubit GHZ State via Maximally Entangled States

In this article, we propose a scheme for splitting a three-qubit GHZ state by using the maximally entangled state as the quantum channel. It will be shown that the state receiver can reconstruct the original state of the sender by applying the appropriate unitary operation. The scheme needs some additional classical information and not Bell-basis measurements. Furthermore, this protocol is feasible with the present technique.

Cryptanalysis and Improvement of Quantum Private Comparison Protocol Based on Bell Entangled States

Recently, Liu et al. [Commun. Theor. Phys. 57 (2012) 583] proposed a quantum private comparison protocol based on entanglement swapping of Bell states, which aims to securely compare the equality of two participants' information with the help of a semi-honest third party (TP). However, the present study points out there is a fatal loophole in Liu et al.'s protocol, and TP can make Bell-basis measurement to know all the participants' secret inputs without being detected. To fix the problem, a simple solution, which uses one-time eavesdropper checking with decoy photons instead of twice eavesdropper checking with Bell states, is demonstrated. Compared with the original protocol, it not only reduces the Bell states consumption but also simplifies the protocol steps.

Quantum Information Splitting of an Arbitrary Three-Qubit State Via a Seven-Qubit Maximally Entangled State

Recently Zha et al. (J. Phys. A: Math. Theor. 45:255–302 2012) have proposed a seven-particle maximally entangled state. In this paperwe propose a schemes for splitting three-qubit states by using seven-particle maximally entangled state as the quantum channel. After the sender performs Bell-basis measurements on her particles, and the cooperators operate single-particle measurements on their particles, the state receiver can reconstruct the original state of the sender by applying the appropriate unitary operation.

Scheme for Deterministic Secure Quantum Communication with Three-qubit GHZ State

We present a novel scheme for deterministic secure quantum communication by using three-qubit Greenberger-Horne-Zeilinger (GHZ) state as quantum channel. It will be shown that secret messages can be encoded by employing four two-unitary collective operations, and decoded by Bell-basis measurements and some additional classical information. Security of the communication can be ensured by the order rearrangement of photon pairs techniques and the decoy photon checking technique. It has a high capacity as each GHZ state can carry two bits of information, and has a high intrinsic efficiency because almost all the instances except for the decoy checking photons (its number is negligible) are useful. Furthermore, this protocol is feasible with the present-day technique.

A General Method of Selecting Quantum Channel for Bidirectional Quantum Teleportation

Based on tensor representation and Bell basis measurement in bidirectional quantum teleportation, a criterion that can be used to judge whether a four-qubit quantum state can be regarded as quantum channel or not in bidirectional teleportation is suggested and a theoretical scheme of bidirectional teleportation via four-qubit state as the quantum channel is proposed. In accordance with this criterion we give a general method of selecting quantum channel in bidirectional teleportation, which is determined by the channel parameter matrix R in the Bell basis measurement. This general method provide a theoretical basis for quantum channel selection in bidirectional quantum teleportation experiments.

Efficient methods for choosing quantum channel in teleportation and bidirectional teleportation

The tensor representation of quantum teleportation shows the internal connection between Bell basis measurement matrix Tα and channel parameter matrix (CPM) R. An explicit CPM criterion based on the tensor representation is derived. This criterion can be used to judge whether a quantum state can be employed as the quantum channel or not in teleportation and bidirectional teleportation, and it provides us more flexible choices to construct the quantum channel.

A Novel Deterministic Secure Quantum Communication Scheme with Einstein—Podolsky—Rosen Pairs and Single Photons

A novel deterministic secure quantum communication (DSQC) scheme is presented based on Einstein-Podolsky-Rosen (EPR) pairs and single photons in this study. In this scheme, the secret message can be encoded directly on the first particles of the prepared Bell states by simple unitary operations and decoded by performing the Bell-basis measurement after the additional classic information is exchanged. In addition, the strategy with two-step transmission of quantum data blocks and the technique of decoy-particle checking both are exploited to guarantee the security of the communication. Compared with some previous DSQC schemes, this scheme not only has a higher resource capacity, intrinsic efficiency and total efficiency, but also is more realizable in practical applications. Security analysis shows that the proposed scheme is unconditionally secure against various attacks over an ideal quantum channel and still conditionally robust over a noisy and lossy quantum channel.

Improvement of Controlled Bidirectional Quantum Direct Communication Using a GHZ State

The security of controlled bidirectional quantum direct communication using a GHZ state [Chin. Phys. Lett. 23 (2006) 1680] is analyzed. It turns out that the MX protocol has the problem of definite information leakage, i.e., the first bit of a secret message from any communication party is always leaked out without any active attack after the controller's announcement of measurement results. We put forward two approaches to improve this. The first is to merely modify the encoding rule of the MX protocol, while the second is to use a Bell state as the quantum resource instead of a GHZ state. Both our approaches can ensure that all the bits of secret messages from two communication parties are not leaked out after the controller's announcement of measurement results. Moreover, the controlled bidirectional quantum secure direct communication protocol based on the second approach is more convenient to implement than the MX protocol, since it merely uses a Bell state as the quantum resource and only needs to perform the Bell-basis measurement.

Economical five-party quantum state sharing of an arbitrary m-atom with five-atom cluster state in cavity QED

We present an economical scheme of five-party quantum state sharing (FQSTS) of an arbitrary m-atom with five-atom cluster state in cavity QED. It is found that the five-partite cluster state can be used for FQSTS of an arbitrary m-atom state. The implementation of this scheme does not involve Bell-basis or GHZ-basis measurements, which makes it more convenient in a practical application than some previous schemes. The scheme is also insensitive to the cavity decay and the thermal field.

Quantum Tasks Using Symmetric Cluster States

The cluster state has its feasibility for universal quantum computations. In this paper, we show that one symmetric cluster state can be used for the teleportation of an arbitrary two-qubit state deterministically. The one takes use of generalized Bell basis measurement while the other is completed using a general projective measurement from constructed orthogonal measurement basis and the Pauli flip measurement. Moreover, this state can also be utilized for remotely preparation of a restricted two qubit state within two different quantum network topologies, the controlled and jointed forms. Finally its capability for dense coding is investigated and shown n+3 classical bits transmissions by sending only n+1 qubits.

利用纠缠交换后的测量相关性和降低传输效率防止量子对话发生信息泄露

In order to solve the security threat of information leakage in quantum dialogue protocols,a controlled quantum dialogue protocol without information leakage was proposed,where the controller Alice controlled the bidirectional communication between two communication parties,Bob and Charlie.The problem of information leakage was avoided by making full use of the measurement correlation property after entanglement swapping between two maximally entangled GHZ states and decreasing the transmission efficiency.Moreover,the Bell-basis measurement rather than the GHZ-basis measurement was needed.Security analysis shows that the active attacks from an outside eavesdropper can be detected,such as the intercept-resend attack,the measurement-resend attack and the entanglement-and-measurement attack.

Quantum Secure Direct Communication Based on Four-Qubit Cluster States

A novel quantum secure direct communication scheme based on four-qubit cluster states is proposed. In this scheme, the quantum channel between the sender Alice and the receiver Bob consists of an ordered sequence of cluster states which are prepared by Alice. After ensuring the security of quantum channel, Alice prepares the encoded Bell-state sequence, and performs Bell-basis measurements on the qubits at hand. Then Alice tells the measured results to Bob, and Bob also performs Bell-basis measurements on his own qubits. Finally Bob can get the secret information through the analysis of their measured results. In our scheme, the qubits carrying the secret message do not need to be transmitted in public channel. We show this scheme is determinate and secure.