Quantum Convolutional Coding
نویسندگان
چکیده
We show how to protect a stream of quantum information from decoherence induced by a noisy quantum communication channel. We exploit preshared entanglement and a convolutional coding structure to develop a theory of entanglementassisted quantum convolutional coding. Our construction produces a Calderbank-Shor-Steane (CSS) entanglement-assisted quantum convolutional code from two arbitrary classical binary convolutional codes. The rate and error-correcting properties of the classical convolutional codes directly determine the corresponding properties of the resulting entanglement-assisted quantum convolutional code. We explain how to encode our CSS entanglement-assisted quantum convolutional codes starting from a stream of information qubits, ancilla qubits, and shared entangled bits.
منابع مشابه
Entanglement-Assisted Quantum Convolutional Coding
We show how to protect a stream of quantum information from decoherence induced by a noisy quantum communication channel. We exploit preshared entanglement and a convolutional coding structure to develop a theory of entanglement-assisted quantum convolutional coding. Our construction produces a Calderbank-Shor-Steane (CSS) entanglement-assisted quantum convolutional code from two arbitrary clas...
متن کاملQuantum Convolutional Coding with Shared Entanglement: General Structure
Abstract—We present a general theory of entanglementassisted quantum convolutional coding. The codes have a convolutional or memory structure, they assume that the sender and receiver share noiseless entanglement prior to quantum communication, and they are not restricted to possess the CalderbankShor-Steane structure as in previous work. We provide two significant advances for quantum convolut...
متن کاملDouble-Star Detection Using Convolutional Neural Network in Atmospheric Turbulence
In this paper, we investigate the usage of machine learning in the detection and recognition of double stars. To do this, numerous images including one star and double stars are simulated. Then, 100 terms of Zernike expansion with random coefficients are considered as aberrations to impose on the aforementioned images. Also, a telescope with a specific aperture is simulated. In this work, two k...
متن کاملQuasi-cyclic LDPC codes with high girth
The LDPC codes are codes that approach optimal decoding performances, with an acceptable decoding computational cost ([1, 2, 3]). In this paper we present a class of quasi-cyclic LDPC codes and we show that we are able to guarantee some relevant properties of the codes. Experimentally, their decoding performance is comparable with the performance obtained by random LDPC codes. Traditionally, co...
متن کاملA New Class of Convolutional Codes for Coded TPSK Schemes
Convolutional codes have been widely used in several kinds of communication systems because of its excellent coding gain. Recently, the coded TPSK (Ternary phase shift keying) scheme has been proposed and it was shown that the scheme has attractive features for mobile communication systems; excellent bit error characteristics and small amount of amplitude fluctuation. The latter feature is very...
متن کامل