The circuit model of quantum computation is reformulated as a multilayer network theory [3] called a Quantum Multiverse Network (QuMvN). The QuMvN formulation allows us to interpret the quantum wave function as a combination of ergodic Markov Chains where each Markov Chain occupies a different layer in the QuMvN structure. Layers of a QuMvN are separable components of the corresponding wave function. Single qubit measurement is defined as a state transition of the Markov Chain that emits either a $0$ or $1$ making each layer of the QuMvN a Discrete Information Source. A message is equivalent to a possible measurement outcome and the message length is the number of qubits. Therefore, the quantum wave function can be treated as a combination of multiple discrete information sources analogous to what Shannon called a "mixed" information source [18]. We show the QuMvN model has significant advantages in the classical simulation of some quantum circuits by implementing quantum gates as edge transformations on the QuMvNs. We implement a quantum virtual machine capable of simulating quantum circuits using the QuMvN model and use our implementation to classically simulate Shor's Algorithm [19]. We present results from multiple simulations of Shor's Algorithm culminating in a $70$ qubit simulation of Shor's Algorithm on a commodity cloud server with $96$ CPUS and $624$ GB of RAM. Lastly, the source of quantum speedups is discussed in the context of layers in the QuMvN framework and how randomized algorithms can push the quantum supremacy boundary.The circuit model of quantum computation is reformulated as a multilayer network theory [3] called a Quantum Multiverse Network (QuMvN). The QuMvN formulation allows us to interpret the quantum wave function as a combination of ergodic Markov Chains where each Markov Chain occupies a different layer in the QuMvN structure. Layers of a QuMvN are separable components of the corresponding wave function. Single qubit measurement is defined as a state transition of the Markov Chain that emits either a $0$ or $1$ making each layer of the QuMvN a Discrete Information Source. A message is equivalent to a possible measurement outcome and the message length is the number of qubits. Therefore, the quantum wave function can be treated as a combination of multiple discrete information sources analogous to what Shannon called a "mixed" information source [18]. We show the QuMvN model has significant advantages in the classical simulation of some quantum circuits by implementing quantum gates as edge transformations on the QuMvNs. We implement a quantum virtual machine capable of simulating quantum circuits using the QuMvN model and use our implementation to classically simulate Shor's Algorithm [19]. We present results from multiple simulations of Shor's Algorithm culminating in a $70$ qubit simulation of Shor's Algorithm on a commodity cloud server with $96$ CPUS and $624$GB of RAM. Lastly, the source of quantum speedups is discussed in the context of layers in the QuMvN framework and how randomized algorithms can push the quantum supremacy boundary.

arXiv:1909.09863Sep 21, 20190 citations

The structure of the multiverse

David Deutsch

The structure of the multiverse can be understood by analysing the ways in which information can flow in it. We may distinguish between quantum and classical information processing. In any region where the latter occurs — which includes not only classical computation but also all measurements and decoherent processes — the multiverse contains an ensemble of causally autonomous systems, each of which resembles a classical physical system. However, even in those regions, the multiverse has additional structure.The structure of the multiverse can be understood by analysing the ways in which information can flow in it. We may distinguish between quantum and classical information processing. In any region where the latter occurs — which includes not only classical computation but also all measurements and decoherent processes — the multiverse contains an ensemble of causally autonomous systems, each of which resembles a classical physical system. However, even in those regions, the multiverse has additional structure.

Proceedings of the Royal Society A Mathematical Physical and Engineering SciencesNov 20, 2002131 citations

Quantum Computation and Its Perspective

Craig S. Lent

FEDジャ-ナルMar 1, 19972 citations

Emergent Multiverse Modeling through Quantum Simulation

Jincheng Zhang

Current multiverse theories often lack a rigorous computational framework. We propose using quantum simulations to dynamically explore the possible configurations of a multiverse, identifying emergent patterns and constraints. This research explores a novel approach by implementing a quantum simulation algorithm that iteratively explores a vast state space, revealing patterns and constraints that arise from the interactions of multiple universes. The core mechanism involves a dynamic mapping of potential universes, guided by quantum principles, to identify underlying physical laws. This work aims to provide a computationally feasible model for investigating the potential existence of multiverse structures and their implications for fundamental physics.Current multiverse theories often lack a rigorous computational framework. We propose using quantum simulations to dynamically explore the possible configurations of a multiverse, identifying emergent patterns and constraints. This research explores a novel approach by implementing a quantum simulation algorithm that iteratively explores a vast state space, revealing patterns and constraints that arise from the interactions of multiple universes. The core mechanism involves a dynamic mapping of potential universes, guided by quantum principles, to identify underlying physical laws. This work aims to provide a computationally feasible model for investigating the potential existence of multiverse structures and their implications for fundamental physics.

Sep 7, 20260 citations

The Universe and the Quantum Computer

Stanley Gudder

arXiv:1009.6229International Journal of Theoretical PhysicsJan 26, 20111 citation

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1

making each layer of the QuMvN a Discrete Information Source. A message is equivalent to a possible measurement outcome and the message length is the number of qubits. Therefore, the quantum wave function can be treated as a combination of multiple discrete information sources analogous to what Shannon called a "mixed" information source [18]. We show the QuMvN model has significant advantages in the classical simulation of some quantum circuits by implementing quantum gates as edge transformations on the QuMvNs. We implement a quantum virtual machine capable of simulating quantum circuits using the QuMvN model and use our implementation to classically simulate Shor's Algorithm [19]. We present results from multiple simulations of Shor's Algorithm culminating in a

70

qubit simulation of Shor's Algorithm on a commodity cloud server with

96

CPUS and

624

GB of RAM. Lastly, the source of quantum speedups is discussed in the context of layers in the QuMvN framework and how randomized algorithms can push the quantum supremacy boundary.