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Compression and replication of quantum information

Yuxiang Yang

Published Jan 1, 2018• 1 citation
Publisher
DOI
10.5353/th_991044058180003414

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•Jan 29, 2026•0 citations
The theory of relativity requires that no information travel faster than light, whereas the unitarity of quantum mechanics ensures that quantum information cannot be cloned. These conditions provide the basic constraints that appear in information replication tasks, which formalize aspects of the behavior of information in relativistic quantum mechanics. In this article, we provide continuous variable (CV) strategies for spacetime quantum information replication that are directly amenable to optical or mechanical implementation. We use a new class of homologically constructed CV quantum error correcting codes to provide efficient solutions for the general case of information replication. As compared to schemes encoding qubits, our CV solution requires half as many shares per encoded system. We also provide an optimized five-mode strategy for replicating quantum information in a particular configuration of four spacetime regions designed not to be reducible to previously performed experiments. For this optimized strategy, we provide detailed encoding and decoding procedures using standard optical apparatus and calculate the recovery fidelity when finite squeezing is used. As such we provide a scheme for experimentally realizing quantum information replication using quantum optics.
Quantum states obey an asymptotic no-cloning theorem, stating that no deterministic machine can reliably replicate generic sequences of identically prepared pure states. In stark contrast, we show that generic sequences of unitary gates can be replicated deterministically at nearly quadratic rates, with an error vanishing on most inputs except for an exponentially small fraction. The result is not in contradiction with the no-cloning theorem, since the impossibility of deterministically transforming pure states into unitary gates prevents the application of the gate replication protocol to states. In addition to gate replication, we show that N parallel uses of a completely unknown unitary gate can be compressed into a single gate acting on O(log_{2}N) qubits, leading to an exponential reduction of the amount of quantum communication needed to implement the gate remotely.
This paper presents a perspective-based model explaining why modern human experience feels increasingly accelerated despite time itself remaining unchanged. It argues that continuous conscious selection of moments—rather than natural reception—produces temporal compression, reaction-based cognition, and an illusion of control. Within the framework of Javed’s Quantum Thought, the paper clarifies the concept of collapse not as a causal outcome of human intention, but as a perceptual visibility that emerges when perception stabilizes through acceptance. Human intention does not create or alter reality; it determines perceptual position within an already complete structure. Using a cause–effect model grounded in the concept of divine command (Kun), the paper explains why reality cannot be replicated, accelerated, or controlled through choice, despite persistent appearances of agency. The discussion integrates temporal perception, selection-based living, hidden parameters, and the limits of replication, offering a coherent explanation for temporal compression and perceptual collapse without attributing creative power to human decision.