Quantum Computing in Fractal Spacetime
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| Title: | Quantum Computing in Fractal Spacetime |
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| Authors: | Michael Doyle |
| Publication Year: | 2025 |
| Subject Terms: | Foundations of quantum mechanics, Quantum information, computation and communication, Quantum technologies, Quantum Computing, Quantum Fractal Spacetime, Decoherence, Quantum Noise, Quantum Algorithms, Scale Covariance |
| Description: | We consider quantum computing in our recently proposed Quantum Fractal Spacetime (QFS) framework, which posits that spacetime is a scale-invariant fractal manifold with an effective Hausdorff dimension D ≈ 2 at quantum scales. QFS offers a novel unification of quantum mechanics and gravity by fundamentally altering the geometric backdrop of physics: quantum behavior emerges from a non-differentiable, fractal spacetime geometry rather than being imposed on a smooth 3 + 1D continuum. Here we explore how this fractal manifold geometry, with its fractional curvature and scale-dependent features, impacts quantum computing. We analyze how core quantum information primitives – qubits, superposition, and entanglement – acquire geometric interpretations in QFS, and how fractal spacetime induces fundamental decoherence mechanisms and noise that set performance limits on quantum computers. We discuss modifications to quantum gate operations, error correction, and algorithms necessitated by QFS effects such as Paumgartner–Weibel scaling of path lengths. We propose experimental tests in quantum information systems, for instance, energy-dependent decoherence rates or anomalous noise spectra, that could reveal QFS signatures. This work shows that if spacetime is fractal, quantum computing may become an arena to probe the fabric of spacetime itself. |
| Document Type: | report |
| Language: | unknown |
| Relation: | https://figshare.com/articles/preprint/Quantum_Computing_in_Fractal_Spacetime/29242319 |
| DOI: | 10.6084/m9.figshare.29242319.v1 |
| Availability: | https://doi.org/10.6084/m9.figshare.29242319.v1 https://figshare.com/articles/preprint/Quantum_Computing_in_Fractal_Spacetime/29242319 |
| Rights: | CC BY 4.0 |
| Accession Number: | edsbas.22D4BA38 |
| Database: | BASE |
Nájsť tento článok vo Web of Science | Abstract: | We consider quantum computing in our recently proposed Quantum Fractal Spacetime (QFS) framework, which posits that spacetime is a scale-invariant fractal manifold with an effective Hausdorff dimension D ≈ 2 at quantum scales. QFS offers a novel unification of quantum mechanics and gravity by fundamentally altering the geometric backdrop of physics: quantum behavior emerges from a non-differentiable, fractal spacetime geometry rather than being imposed on a smooth 3 + 1D continuum. Here we explore how this fractal manifold geometry, with its fractional curvature and scale-dependent features, impacts quantum computing. We analyze how core quantum information primitives – qubits, superposition, and entanglement – acquire geometric interpretations in QFS, and how fractal spacetime induces fundamental decoherence mechanisms and noise that set performance limits on quantum computers. We discuss modifications to quantum gate operations, error correction, and algorithms necessitated by QFS effects such as Paumgartner–Weibel scaling of path lengths. We propose experimental tests in quantum information systems, for instance, energy-dependent decoherence rates or anomalous noise spectra, that could reveal QFS signatures. This work shows that if spacetime is fractal, quantum computing may become an arena to probe the fabric of spacetime itself. |
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| DOI: | 10.6084/m9.figshare.29242319.v1 |