Quantum image computing draws a lot of attention due to storing and processing image data faster than classical. With increasing the image size, the number of connections also increases, leading to the circuit complex. Therefore, efficient quantum image representation and compression issues are still challenging. The encoding of images for representation and compression in quantum systems is different from classical ones. In quantum, encoding of position is more concerned which is the major difference from the classical. In this paper, a novel zero-discarded state connection novel enhance quantum representation (ZSCNEQR) approach is introduced to reduce complexity further by discarding '0' in the location representation information. In the control operational gate, only input '1' contribute to its output thus, discarding zero makes the proposed ZSCNEQR circuit more efficient. The proposed ZSCNEQR approach significantly reduced the required bit for both representation and compression. The proposed method requires 11.76\% less qubits compared to the recent existing method. The results show that the proposed approach is highly effective for representing and compressing images compared to the two relevant existing methods in terms of rate-distortion performance.

翻译：量子图像计算因比经典计算更快速地存储和处理图像数据而备受关注。随着图像尺寸增大，连接数量也随之增加，导致电路复杂度上升。因此，高效的量子图像表示与压缩问题仍具有挑战性。量子系统中用于表示与压缩的图像编码方式与经典系统不同。在量子系统中，位置编码更为关键，这是与经典系统的主要区别。本文提出了一种新型零丢弃态连接增强量子表示（ZSCNEQR）方法，通过丢弃位置表示信息中的"0"来进一步降低复杂度。在控制操作门中，仅有输入"1"对输出产生贡献，因此丢弃零使得所提出的ZSCNEQR电路更加高效。所提出的ZSCNEQR方法显著减少了表示与压缩所需的比特数。与近期现有方法相比，该方法所需量子比特数减少11.76%。结果表明，在率失真性能方面，与两种相关现有方法相比，所提方法在图像表示与压缩方面具有高度有效性。