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Algorithmic Quantum Teleportation and the No-Cloning Theorem via ER=EPR Topological Routing

Yaniv Cohen

Published Jul 15, 2026• 0 citations
Publisher

Abstract

The current Paper 71 benchmark does not claim that a full quantum optics laboratory or complete quantum information theory has been derived from first principles inside QGEFT. It does show that the QGEFT vacuum supports a concrete, reproducible topological teleportation channel via the ER=EPR mechanism. The `diamond` motif provides the critical "Goldilocks" balance between rarity (0 background at target) and fragility (collapses at sweep 5 under measurement stress). In both T=0.25 and T=0.35 benchmarks, the Metropolis engine deterministically routes the geometric information through the wormhole: the source motif at A collapses at sweep 5 ($\Delta E_A = 15.206 \to 13.571$), and exactly one sweep later, the identical diamond motif reconstructs at remote target C. The No-Cloning Theorem emerges automatically as a thermodynamic constraint—maintaining two copies is energetically disfavored.

DOI
10.5281/zenodo.21383793

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The current Paper 71 benchmark does not claim that a full quantum optics laboratory or complete quantum information theory has been derived from first principles inside QGEFT. It does show that the QGEFT vacuum supports a concrete, reproducible topological teleportation channel via the ER=EPR mechanism. The diamond motif provides the critical "Goldilocks" balance between rarity (0 background at target) and fragility (collapses at sweep 5 under measurement stress). In both T=0.25 and T=0.35 benchmarks, the Metropolis engine deterministically routes the geometric information through the wormhole: the source motif at A collapses at sweep 5 (ΔEA=15.206→13.571\Delta E_A = 15.206 \to 13.571ΔEA​=15.206→13.571), and exactly one sweep later, the identical diamond motif reconstructs at remote target C. The No-Cloning Theorem emerges automatically as a thermodynamic constraint—maintaining two copies is energetically disfavored.
Quantum teleportation, a cornerstone of quantum information science, enables the faithful transfer of an unknown quantum state without physically transmitting the particle. This remarkable process is fundamentally underpinned by two profound quantum mechanical principles: Bell non-locality and the no-cloning theorem. Bell non-locality, stemming from shared quantum entanglement, provides the instantaneous correlation necessary for quantum state transfer, challenging classical notions of local realism. Simultaneously, the no-cloning theorem asserts the impossibility of creating an identical copy of an arbitrary unknown quantum state, ensuring quantum information is transferred uniquely and the original state is irreversibly consumed. This paper explores these foundational pillars, elucidating their theoretical origins, mathematical formulations, and critical, synergistic roles in enabling quantum teleportation. We demonstrate how their combined action allows for precise state reconstruction at the receiver's location while rigorously preserving causality. The discussion extends to their profound implications for quantum communication, quantum computing, and our fundamental understanding of quantum reality, highlighting how their intrinsic relationship defines a unique framework for quantum information integrity.
Quantum teleportation, a cornerstone of quantum information science, enables the transfer of an unknown quantum state from one location to another without physically moving the state itself. Its efficacy is primarily quantified by fidelity, a measure of how closely the teleported state resembles the original. Achieving high-fidelity teleportation is paramount for practical applications in quantum communication and computation. This paper explores the intricate relationship between non-locality, the no-cloning theorem, and the pursuit of high-fidelity quantum teleportation. We introduce the concept of "unclonable non-locality" to describe scenarios where the inherent non-local correlations of entangled states are leveraged in a manner that inherently resists illicit copying, thereby enhancing the integrity and security of the teleportation process. We review current state-of-the-art teleportation protocols, analyzing their fidelity limitations and the impact of various noise models, such as those arising from Bell-diagonal resource states and local amplitude-damping channels. Our framework emphasizes that protocols exhibiting identical average fidelities can conceal distinct statistical behaviors and asymmetries introduced by local noise, stressing the need for a comprehensive statistical assessment beyond simple average fidelity. We propose methods for constructing and utilizing entangled resources that maximize non-local correlations while inherently enforcing the no-cloning principle, thereby offering a robust pathway to deterministic, high-fidelity quantum state transfer. The discussion highlights the potential for designing tailored teleportation benchmarks based on prior importance functions, unifying moment-based criteria and threshold-based success probabilities into a single figure of merit, and clarifying the role of entanglement strength in certifying high-fidelity teleportation. We also acknowledge the ethical implications associated with the development of powerful quantum technologies that could have significant societal impacts.
The current Paper 75 benchmark does not claim that full continuum quantum gravity or laboratory entanglement swapping has already been derived on a graph. It does show that the verified QGEFT temporal entanglement engine reproduces the Megidish-Eisenberg (2013) result: particle D, created *after* particle A was destroyed, inherits A's topological fingerprint through the scar region with composite similarity **0.9379** and **Z=3.56** (>2σ>2\sigma>2σ, null μ=0.8163±0.0342\mu=0.8163\pm0.0342μ=0.8163±0.0342). The control measurement (A↔C, where C was placed far from A's scar) shows a lower similarity of 0.8502, proving the memory is spatially localized. At N≤64N\le64N≤64, the signal drowns in background noise (null similarity ≈0.93\approx0.93≈0.93), confirming that N≥256N\ge256N≥256 is required for clean topological memory emergence. The defensible conclusion is that entanglement is a statistical correlation preserved in the dynamic memory of quantum spacetime—not a physical thread stretched through space.
Abstract One of the most important properties of quantum information, and the one ultimately responsible for its cryptographic applications, is that it can not be copied. That statement, however, is not completely accurate. While the no-cloning theorem of quantum mechanics prevents quantum information from being copied in space, the reversibility of microscopic physics actually requires that the information be copied in time. In spacetime as a whole, therefore, quantum information is widely replicated but in a restricted fashion. We fully characterize which regions of spacetime can all hold the same quantum information. Because quantum information can be delocalized through quantum error correction and teleportation, it need not follow well-defined trajectories. Instead, replication of the information in any configuration of spacetime regions not leading to violations of causality or the no-cloning principle is allowed. To demonstrate this, we answer the operational question of exactly when the information can be summoned to a set of spacetime points, showing how to do so efficiently using a combination of teleportation and codeword-stabilized quantum codes. This provides a simple and complete description of where and when a qubit can be located in spacetime, revealing a remarkable variety of possibilities.
In port-based teleportation, Alice teleports an unknown quantum state $|\ensuremath{\psi}\ensuremath{\rangle}$ to one of NNN ports at Bob's site. Alice applies a measurement and sends Bob the outcome kkk. Bob only needs to select the kkkth port in order to obtain $|\ensuremath{\psi}\ensuremath{\rangle}$. We present a theorem in the spirit of the no-cloning theorem, which says that it is impossible to extract any information from an unknown quantum state if only a single copy of it is provided and if the state remains unchanged. We use this theorem and the no-signaling principle to prove an upper bound on the success probability of port-based teleportation.
Abstract In modern quantum information science, the no-cloning theorem constitutes a fundamental principle stating that it is impossible to create an exact copy of an arbitrary unknown quantum state. This intrinsic limitation forms the basis of quantum security mechanisms and gives rise to unique phenomena such as quantum teleportation and superdense coding, which enable the transmission of quantum information without physically transferring the quantum state itself. Within the broader framework of quantum computation, algorithms such as Grover's algorithm provide quadratic speedup for unstructured search problems, though they do not always achieve optimal query complexity for certain classes of tasks. In such scenarios, quantum random walks offer an alternative paradigm capable of further reducing query complexity and enhancing search efficiency. This study examines the theoretical foundations and practical implications of the no-cloning theorem, quantum teleportation, superdense coding, and quantum random walks in the context of information security. Special attention is given to their role in designing countermeasure systems against information theft, destruction, and modification. Practical demonstrations are conducted using Qiskit on IBM quantum hardware, highlighting the applied significance and future potential of these quantum security mechanisms.