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Empirical Realization of a Traversable ER=EPR Microbridge in a Solid-State Quantum Processor under f (Q) Gravity

Jesus Arturo Valdez

Published Mar 3, 2026• 0 citations
Publisher

Abstract

The theoretical realization of traversable wormholes has long been hindered bythe requirement of exotic matter violating the Null Energy Condition (NEC) and theinstabilities predicted by the Chronology Protection Conjecture. In this paper, wepresent the empirical demonstration of a traversable Einstein-Rosen (ER) microbridgesimulated on real superconducting quantum hardware. Utilizing an exact rotating Teometric optimized via a Quantum Cognitive Swarm, we mapped the spacetime topologyinto quantum circuits based on the ER=EPR correspondence.By migrating to symmetric teleparallel f (Q) gravity, our framework eliminates theneed for exotic matter, with statistical bootstrap validation confirming NEC satis-faction (> 0) in 100% of candidates. Deployed on the 156-qubit ibm fez and 133-qubit ibm torino processors, we implemented a progressive complexity protocol usingdynamic decoupling and zero-noise extrapolation to shield the metric from thermaldecoherence.We report a sustained quantum non-locality preserving the metric structure with aBell inequality violation of S = 2.8291, saturating the Tsirelson bound. Furthermore,we achieved functional traversability by teleporting an arbitrary quantum state throughthe microbridge with a measured fidelity of 96.80%, drastically exceeding the classicallimit of 66.6%. These results confirm that macroscopic spacetime topologies can beholographically engineered and traversed in quantum solid-state architectures.

DOI
10.5281/zenodo.18856868

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[This is a creative exploration of a concept with AI -it should not be taken as correct mathematics.] We present a detailed examination of the conjectured correspondence between Einstein-Rosen (ER) bridges and Einstein-Podolsky-Rosen (EPR) entanglement, denoted as ER=EPR. This examination concentrates on the quantitative structures and derivations supporting this correspondence, primarily within the setting of the Anti-de Sitter/Conformal Field Theory (AdS/CFT) duality. We analyze the realization of this correspondence in the eternal black hole geometry and its dual Thermofield Double (TFD) state. A complete exposition of the holographic entanglement entropy prescriptions is provided, including the derivation of the Quantum Extremal Surface (QES) prescription via the Lewkowycz-Maldacena argument concerning the gravitational path integral and conical singularities, and the subsequent derivation of the Jafferis-Lewkowycz-Maldacena-Suh (JLMS) relation establishing the equality of bulk and boundary relative entropies. We investigate the relationship between the temporal evolution of the spacetime geometry, characterized by the growth of the Einstein-Rosen bridge, and the evolution of quantum complexity. A complete derivation of the maximal volume growth rate is provided, carefully analyzing the geometry inside the horizon. Furthermore, a complete derivation of the action growth rate, supporting the Complexity=Action conjecture, is provided, clarifying the precise contribution of bulk, boundary, and joint terms in the gravitational action according to the definitions established by Lehner et al. for manifolds with null boundaries. The correspondence is extended to typical entangled states, characterized by Einstein-Rosen caterpillars. We derive the effective Hamiltonian governing the ensemble average of the generating random circuits and establish the quantitative relationship between the geometric length of the wormhole and the measure of quantum randomness (k-designs), utilizing the results of Magán, Sasieta, and Swingle. The role of QES and the derivation of the Page curve via replica wormholes are analyzed, detailing the calculations in Jackiw-Teitelboim gravity theories following Penington et al. Mechanisms for rendering wormholes traversable via boundary interactions (Gao-Jafferis-Wall construction) and operational interpretations based on Local Operationsand Classical Communication protocols are also discussed, emphasizing the quantitative consistency of these interconnected concepts.

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The theoretical realization of traversable wormholes has long been hindered bythe requirement of exotic matter violating the Null Energy Condition (NEC) and theinstabilities predicted by the Chronology Protection Conjecture. In this paper, wepresent the empirical demonstration of a traversable Einstein-Rosen (ER) microbridgesimulated on real superconducting quantum hardware. Utilizing an exact rotating Teometric optimized via a Quantum Cognitive Swarm, we mapped the spacetime topologyinto quantum circuits based on the ER=EPR correspondence.By migrating to symmetric teleparallel f (Q) gravity, our framework eliminates theneed for exotic matter, with statistical bootstrap validation confirming NEC satis-faction (> 0) in 100% of candidates. Deployed on the 156-qubit ibm fez and 133-qubit ibm torino processors, we implemented a progressive complexity protocol usingdynamic decoupling and zero-noise extrapolation to shield the metric from thermaldecoherence.We report a sustained quantum non-locality preserving the metric structure with aBell inequality violation of S = 2.8291, saturating the Tsirelson bound. Furthermore,we achieved functional traversability by teleporting an arbitrary quantum state throughthe microbridge with a measured fidelity of 96.80%, drastically exceeding the classicallimit of 66.6%. These results confirm that macroscopic spacetime topologies can beholographically engineered and traversed in quantum solid-state architectures.
We construct a class of wormhole geometries supported by the non-local gravitational self-energy that regularizes the particle and black-hole sectors of spacetime. Using this framework, inspired by T-duality, we show that two entangled particles (or particle-black-hole pairs) naturally source an Einstein-Rosen-type geometry in which the required violation of the strong energy condition arises from intrinsic quantum-gravity effects rather than from ad hoc exotic matter, which is matter that violates the null energy condition. We classify the resulting wormholes, analyze their horizons, throat structure and embedding properties, and we identify the exotic energy needed at the minimal surface. Imposing the ER=EPR requirement of non-traversability and the absence of a macroscopic throat, we find that only the zero-throat geometry is compatible with an entanglement-induced Einstein-Rosen bridge, providing a concrete realization of ER=EPR within a fully regular spacetime. Finally, we briefly discuss possible implications for microscopic ER networks from vacuum fluctuations, replica-wormhole interpretations of Hawking radiation, and possible links to entanglement-driven dark-energy scenarios.
FINDING: Traversable wormholes are realized as quantum-information protocols — the 2022 Google/Caltech experiment simulated a traversable wormhole on a quantum processor, transmitting a qubit through a holographic dual, confirming ER=EPR as an operational transport channel. MATH: Core relations: - ER=EPR duality: Einstein-Rosen bridge ≡ Einstein-Podolsky-Rosen entanglement. Wormhole connectivity ↔ entanglement entropy S = -Tr(ρ ln ρ). - Traversable condition (Gao-Jafferis-Wall): coupling two CFT boundaries via double-trace deformation δS = ∫ d^d x h_{ij} T^{ij}_L T^{ij}_R opens the throat; requires ANEC violation: ∫ T_{μν} k^μ k^ν dλ < 0. - Multi-mouth (arXiv:2012.07821): three-mouth wormhole has fundamental group F₂ (free group on 2 generators), i.e., π₁ = ⟨a,b | ∅⟩ — topology of a 3-punctured sphere × time. - SYK model: N Majorana fermions, coupling J, scrambling time t_* ~ (β/2π) ln N. Wormhole signal ∝ N^{-1} at early times, grows as e^{2πt/β} until t_*. - Quantum teleportation fi Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
An accumulation of theoretical evidence contribute to the picture of gravity as a manifestation of quantum entanglement in a certain many-body quantum system. This is in particular expresses in the ER=EPR conjecture, which relates gravitational Einstein-Rosen (ER) bridge with the Einstein-Podolsky-Rosen (EPR) quantum entangled pairs or, more generally, with the so-called Thermofield Double State. In this letter, the ER=EPR conjecture is employed to introduce unitary quantum teleportation protocol, which \emph{recycles} the entanglement forming traversable generalization of the Einstein-Rosen bridge. In consequence, the wormhole remains unaffected by the quantum teleportation. Furthermore, it is shown that the protocol guarantees the unconditional security of the quantum communication. Performance of the protocol is demonstrated in a simple setting with the use of 5-qubit Santiago IBM quantum computer, giving fidelities above the 2/32/32/3 classical limit for a representative set of teleported states. Security of the protocol has been supported by experimental studies performed with the use of the noisy quantum processor. Possible generalization of the protocol, which may have relevance in the context of macroscopic gravitational configurations, is also considered.
[This is a creative exploration of a concept with AI -it should not be taken as correct mathematics.] We present a detailed examination of the conjectured correspondence between Einstein-Rosen (ER) bridges and Einstein-Podolsky-Rosen (EPR) entanglement, denoted as ER=EPR. This examination concentrates on the quantitative structures and derivations supporting this correspondence, primarily within the setting of the Anti-de Sitter/Conformal Field Theory (AdS/CFT) duality. We analyze the realization of this correspondence in the eternal black hole geometry and its dual Thermofield Double (TFD) state. A complete exposition of the holographic entanglement entropy prescriptions is provided, including the derivation of the Quantum Extremal Surface (QES) prescription via the Lewkowycz-Maldacena argument concerning the gravitational path integral and conical singularities, and the subsequent derivation of the Jafferis-Lewkowycz-Maldacena-Suh (JLMS) relation establishing the equality of bulk and boundary relative entropies. We investigate the relationship between the temporal evolution of the spacetime geometry, characterized by the growth of the Einstein-Rosen bridge, and the evolution of quantum complexity. A complete derivation of the maximal volume growth rate is provided, carefully analyzing the geometry inside the horizon. Furthermore, a complete derivation of the action growth rate, supporting the Complexity=Action conjecture, is provided, clarifying the precise contribution of bulk, boundary, and joint terms in the gravitational action according to the definitions established by Lehner et al. for manifolds with null boundaries. The correspondence is extended to typical entangled states, characterized by Einstein-Rosen caterpillars. We derive the effective Hamiltonian governing the ensemble average of the generating random circuits and establish the quantitative relationship between the geometric length of the wormhole and the measure of quantum randomness (k-designs), utilizing the results of Magán, Sasieta, and Swingle. The role of QES and the derivation of the Page curve via replica wormholes are analyzed, detailing the calculations in Jackiw-Teitelboim gravity theories following Penington et al. Mechanisms for rendering wormholes traversable via boundary interactions (Gao-Jafferis-Wall construction) and operational interpretations based on Local Operationsand Classical Communication protocols are also discussed, emphasizing the quantitative consistency of these interconnected concepts.
We report the experimental signature of holographically motivated quantum teleportation on a quantum processor, driven by the highly entangled, chaotic dynamics of a many-body system. Specifically, we implement the traversable-wormhole (TW) protocol utilizing a \textit{chaotic} binary sparse N=8N = 8N=8 Sachdev--Ye--Kitaev (SYK) model. This optimized approach dramatically reduces circuit depth for noisy intermediate-scale quantum (NISQ) hardware while rigorously preserving the spectral chaos required for gravitational duality. Diagnosing the teleportation signal via mutual information, we find that while inherent noise in NISQ hardware precludes perfect quantitative agreement with exact numerical simulations, our experimental results provide evidence for the essential qualitative signature: a sign-dependent asymmetry. This work establishes a practical framework for holographic quantum simulations, offering a novel empirical testbed for exploring holographic quantum gravity.
Six quantum circuit experiments performed on ibm_marrakesh (IBM Quantum, 156 qubits, Heron R2 architecture) are reported, designed to test boundary signatures of the ER=EPR conjecture within the AdS₂/JT gravity framework, with the Sachdev-Ye-Kitaev (SYK) model as the holographic dual of the black hole horizon. The experiments were executed iteratively: each result raised new questions that directly motivated the next protocol. In order of execution they implement: tripartite entanglement certification via the Mermin operator (|⟨M⟩| = 3.885); a traversable wormhole baseline using a Bell-pair thermofield double (F(g=π/2) = 1.000); black hole evaporation unitarity via the Hayden-Preskill protocol (F_rec = 0.9983, with the decoder reduced to zero two-qubit gates by the compiler); a corrected traversable wormhole using genuine SYK scrambling and exact Majorana coupling (F(g=0) = 0.020, F(g=π/2) = 0.953, GJW gain = 0.933); quantum chaos via out-of-time-order correlators (λ_L = 1.975 ± 0.294, 54.8% of the Maldacena-Shenker-Stanford bound); and black hole entropy under information absorption, where the hardware reproduces the entropy growth S(t) of SYK formation on top of a noise floor and the energy response to Alice’s input (correlation 0.998 with simulation), while the predicted area growth consistent with the Bekenstein law is obtained in simulation but is not resolved above noise on hardware. Total QPU time across all experiments: 7 minutes 2 seconds. Five of the six experiments reproduce the boundary predictions of the ER=EPR framework on hardware; the sixth reproduces them in simulation and only partially on hardware. Version 3 corrects Experiments 2 and 3 following the original laboratory reports. Exp. 2 reports the raw F(g=π/2) = 1.01 ± 0.01 instead of the clipped 1.000. In Exp. 3 the fused U†U circuit is identity by construction; its fidelity (0.9983) is reported as a noise-floor control, not as hardware recovery. The hardware scrambling result (F_scr = 0.530 vs. 0.532 in simulation) is kept; recovery is demonstrated in simulation. Experiments 2b, 5 and 6 are unchanged. Code and data: https://github.com/horca17/er-epr-six-protocols