Hamilton-Cyclic Sequence for Quantum Signal Alignment
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Solution Overview
Problem
Current quantum communication systems require lengthy synchronization and alignment procedures due to the need for iterative scans and non-unique frame patterns, leading to inefficient alignment and potential errors in quantum key distribution.
Innovation Solution
Employing a Hamilton-Cyclic sequence with unique sub-sequences that allow for single-measurement alignment, eliminating the need for iterative scans and reducing alignment time by at least 50%.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If conventional iterative scan alignment procedures are used, then alignment reliability is improved through multiple measurements, but alignment time increases significantly
Solution Approach 1:
The patent applies preliminary action by pre-designing a Hamilton-Cyclic sequence with unique sub-sequences before the alignment process. This pre-structured sequence enables the receiver to determine alignment in a single measurement without iterative scanning, thus reducing alignment time while maintaining reliability through the inherent uniqueness of the sequence patterns.
Solution Approach 2:
The patent changes the fundamental parameter of the alignment sequence from conventional repetitive patterns to Hamilton-Cyclic sequences with unique sub-sequences. This parameter change allows the system to achieve alignment through single-measurement pattern recognition rather than iterative scanning, resolving the contradiction between speed and reliability.
2Device complexity
If conventional non-unique frame patterns are used, then device complexity is reduced with simpler sequences, but alignment precision deteriorates due to ambiguity in pattern recognition
Solution Approach 1:
The patent segments the Hamilton-Cyclic sequence into unique sub-sequences of specific lengths. Each sub-sequence acts as an independent identifier that can be recognized unambiguously, improving alignment precision while keeping the overall structure manageable through systematic segmentation of the sequence into recognizable units.
Solution Approach 2:
The patent introduces asymmetry by designing Hamilton-Cyclic sequences where each sub-sequence has a unique pattern that differs from all others. This asymmetric design eliminates the ambiguity present in symmetric or repetitive conventional sequences, enabling precise alignment determination through single-measurement pattern recognition.
3Measurement precision
If multiple iterative scans are performed for alignment, then measurement precision is improved through repeated measurements, but productivity decreases due to slower alignment speed
Solution Approach 1:
The patent implements feedback through the unique structure of Hamilton-Cyclic sequences, where the receiver can immediately determine alignment status from a single measurement by recognizing the unique sub-sequence pattern. This eliminates the need for repeated measurements while maintaining precision, thereby improving productivity through faster alignment speed.
Solution Approach 2:
The patent applies skipping by eliminating the iterative scanning process entirely. The unique Hamilton-Cyclic sequence allows the system to rush through the alignment process in a single measurement, achieving both high precision and high speed by skipping the time-consuming repeated measurement steps of conventional methods.
Data Source
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Figure 3A~3B
AI summary
The present invention relates to a synchronization method, in particular an alignment method to be implemented in a quantum communication system, being adapted to align the indices of the exchanged signals and comprising the steps of producing a sequence of n quantum signals wherein the pattern of each arbitrary sub-sequence made of k consecutive quantum channel signals within the whole sequence of n quantum channel signals is unique in the whole sequence such that said whole sequence presents an Hamilton-cyclic pattern, repeatedly sending said sequence from the transmitter over the quantum channel to the receiver, detecting a arbitrary selected sub-sequence pattern of said sequence, calculating correlation factors between the pattern of detected sub-sequence and all the possible patterns in the Hamiltonian-Cycle sequence, and determining the current sub-sequence and a required sub-sequence offset based on the pattern with the highest correlation factor, and aligning the phases of the emitter and the receiver based on the determined offset.