In this paper, the cyclic code of the classic circuit is transformed and transplanted; then, the quantum encoding scheme based on cyclic code and quantumerror-correction circuit is constructed. The proposed circuit c...
详细信息
In this paper, the cyclic code of the classic circuit is transformed and transplanted; then, the quantum encoding scheme based on cyclic code and quantumerror-correction circuit is constructed. The proposed circuit can correct one-bit error, and the use of redundant bits to encode more than one-bit quantum information breaks the previous limitations of many bits encoding a quantum bit. Compared with the existing coding circuits （Shor code, Steane code and five stable subcode）, it shows obvious superiority in the quantum coding efficiency and transmission efficiency.
In this paper, the cyclic code of the classic circuit is transformed and transplanted;then, the quantum encoding scheme based on cyclic code and quantumerror-correction circuit is con *** proposed circuit can correct...
详细信息
In this paper, the cyclic code of the classic circuit is transformed and transplanted;then, the quantum encoding scheme based on cyclic code and quantumerror-correction circuit is con *** proposed circuit can correct one-bit error, and the use of redundant bits to encode more than one-bit quantum informa tion breaks the previous limitations of many bits encoding a quan tum *** with the existing coding circuits (Shor code,Steane code and five stable subcode), it shows obvious superiority in the quantum coding efficiency and transmission efficiency.
In Schlingemann (J Math Phys 45:4322, 2004) it was proved that for any calculated error syndrome for quantum graph codes exists an appropriate local correction operation. In this paper we propose an explicit operator ...
详细信息
In Schlingemann (J Math Phys 45:4322, 2004) it was proved that for any calculated error syndrome for quantum graph codes exists an appropriate local correction operation. In this paper we propose an explicit operator to perform the calculation of the syndrome to these codes. Our method makes use of the inverse quantum Fourier transform.
We demonstrate a fashion of quantum channel combining and splitting, called polar quantum channel coding, to generate a quantum bit (qubit) sequence that achieves the symmetric capacity for any given binary input disc...
详细信息
We demonstrate a fashion of quantum channel combining and splitting, called polar quantum channel coding, to generate a quantum bit (qubit) sequence that achieves the symmetric capacity for any given binary input discrete quantum channels. The present capacity is achievable subject to input of arbitrary qubits with equal probability. The polarizing quantum channels can be well-conditioned for quantumerror-correction coding, which transmits partially quantum data through some channels at rate one with the symmetric capacity near one but at rate zero through others.
Exploiting the encoding process of the stabilizer quantumcode [[n, k, d]], a deterministic quantum communication scheme, in which n - 1 photons are distributed forward and backward in two-way channel, is proposed to ...
详细信息
Exploiting the encoding process of the stabilizer quantumcode [[n, k, d]], a deterministic quantum communication scheme, in which n - 1 photons are distributed forward and backward in two-way channel, is proposed to transmit the secret messages with unconditional security. The present scheme can be implemented to distribute the secret quantum （or classical） messages with great capacity in imperfect quantum channel since the utilized code encodes k-qubit messages for each scheme run.
Employing a stabilizer quantumcode (SQC), a quantum deterministic communication scheme is proposed to transmit secret messages with unconditional security. The proposed scheme has great capacity to transmit the messa...
详细信息
Employing a stabilizer quantumcode (SQC), a quantum deterministic communication scheme is proposed to transmit secret messages with unconditional security. The proposed scheme has great capacity to transmit the messages since the utilized SQC can encode more than one qubit of the secret message in the message transmission phase for one scheme run. By utilizing the syndromes of the destroyed qubits, the damaged states can be exactly recovered from the received travel photons, which means that the scheme can be implemented in the imperfect channel with high fidelity.
Based on the techniques of the quantum remote state preparation via a deterministic way, this paper proposes a quantum communication scheme to distribute the secret messages in two phases, i.e., the carrier state chec...
详细信息
Based on the techniques of the quantum remote state preparation via a deterministic way, this paper proposes a quantum communication scheme to distribute the secret messages in two phases, i.e., the carrier state checking phase and the message state transmitting phase. In the first phase, the secret messages are encoded by the sender using a stabilizer quantumcode and then transmitted to the receiver by implementing three CNOT gates. In the second phase, the communicators check the perfectness of the entanglement of the transmitted states. The messages can be distributed to the receiver even if some of the transmitted qubits are destroyed.
Based on the techniques of the quantum remote state preparation via a deterministic way, this paper proposes a quantum communication scheme to distribute the secret messages in two phases, i.e., the carrier state chec...
详细信息
Based on the techniques of the quantum remote state preparation via a deterministic way, this paper proposes a quantum communication scheme to distribute the secret messages in two phases, i.e., the carrier state checking phase and the message state transmitting phase. In the first phase, the secret messages are encoded by the sender using a stabilizer quantumcode and then transmitted to the receiver by implementing three CNOT gates. In the second phase, the communicators check the perfectness of the entanglement of the transmitted states. The messages can be distributed to the receiver even if some of the transmitted qubits are destroyed.
When the time variable in quantum signal processing is discrete, the Fourier transform exists on the vector space of n-tuples over the Galois field F2, which plays an important role in the investigation of quantum sig...
详细信息
When the time variable in quantum signal processing is discrete, the Fourier transform exists on the vector space of n-tuples over the Galois field F2, which plays an important role in the investigation of quantum signals. By using Fourier transforms, the idea of quantum coding theory can be described in a setting that is much different from that seen that far. quantum BCH codes can be defined as codes whose quantum states have certain specified consecutive spectral components equal to zero and the error-correcting ability is also described by the number of the consecutive zeros. Moreover, the decoding of quantumcodes can be described spectrally with more efficiency.
暂无评论