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Towards a Distributed Quantum Computing Ecosystem

Daniele Cuomo, Marcello Caleffi, Angela Sara Cacciapuoti

arXiv:2002.11808v2quant-phcs.NI

TL;DR

Large-scale quantum processors face qubit-scaling and error-control challenges, motivating distributed quantum computing over a Quantum Internet. The paper surveys this ecosystem from a communications engineering perspective, organizing it into dependent logical layers and outlining its main challenges and open problems. Its supported conclusion is a layered design strategy in which networking underlies remote-device communication while upper layers map algorithms to hardware and network constraints.

  • Problem

    Scaling quantum processors is difficult because QEC increases physical-qubit requirements, motivating the Quantum Internet as a strategy for connecting remote quantum devices.

  • Method

    The paper provides a bottom-up communications-engineering survey and models Distributed Quantum Computing as an ecosystem of dependent logical layers.

  • Results

    The paper presents a layered ecosystem in which the Quantum Internet provides networking among remote devices while upper layers map algorithms onto physical resources and hardware/network constraints.

  • Takeaways & Limitations

    The proposed roadmap links quantum networking and distributed computation through layers that coordinate communication, computational resources, and hardware/network constraints.

Abstract

from arXiv · show

The Quantum Internet, by enabling quantum communications among remote quantum nodes, is a network capable of supporting functionalities with no direct counterpart in the classical world. Indeed, with the network and communications functionalities provided by the Quantum Internet, remote quantum devices can communicate and cooperate for solving challenging computational tasks by adopting a distributed computing approach. The aim of this paper is to provide the reader with an overview about the main challenges and open problems arising with the design of a Distributed Quantum Computing ecosystem. For this, we provide a survey, following a bottom-up approach, from a communications engineering perspective. We start by introducing the Quantum Internet as the fundamental underlying infrastructure of the Distributed Quantum Computing ecosystem. Then we go further, by elaborating on a high-level system abstraction of the Distributed Quantum Computing ecosystem. Such an abstraction is described through a set of logical layers. Thereby, we clarify dependencies among the aforementioned layers and, at the same time, a road-map emerges.

I. INTRODUCTION

Quantum computing promises advantages for difficult applications, but fragile qubits, operational errors, and scaling constraints make large processors difficult to realize. The paper motivates distributed quantum computing over the Quantum Internet and surveys its ecosystem, layers, dependencies, challenges, and open problems.

  • Quantum computing targets problems including chemical simulation, optimization, financial modeling, machine learning, and enhanced security.
  • Google’s 53-qubit Sycamore reportedly completed a random-circuit sampling task in 200 seconds that Google estimated would take a state-of-the-art supercomputer approximately 10,000 years.
  • Qubits are vulnerable to decoherence and errors from operations, while increasing device size introduces harder control and preservation challenges.
  • QEC protects quantum information but spreads one logical qubit across several physical qubits, making practical applications potentially require millions of physical qubits.
  • The Quantum Internet is proposed as a strategy to scale qubit counts by connecting remote quantum nodes into a distributed computing system.
  • The paper surveys a Distributed Quantum Computing ecosystem from a communications engineering perspective using logical layers whose higher-level functions depend on lower-level ones.

II. THE QUANTUM INTERNET

The Quantum Internet connects remote quantum devices and supports distributed computation and other quantum-specific communication applications. Interconnection can yield exponential computational growth, while the ecosystem also requires entanglement distribution and supports blind, secure, and noiseless communications.

  • The Quantum Internet is presented as an infrastructure for building distributed quantum-computing systems inspired by interconnected high-performance-computing architectures.
  • The Quantum Internet is defined as a global quantum network that transmits qubits and distributes entangled quantum states among remote quantum devices.
  • Distributed quantum computing treats interconnected quantum processors as a virtual quantum computer whose qubit count scales linearly with the number of devices.
  • Interconnecting processors may provide exponential quantum-computing speed-up with a linear amount of physical resources, compared with independently operating devices.
  • Two isolated 10-qubit processors can represent 2^11 states, whereas interconnecting them can produce a virtual device representing up to 2^18 states.
  • Beyond distributed computing, the Quantum Internet has been associated with blind computing, secure communications, and noiseless communications.

III. DISTRIBUTED QUANTUM COMPUTING ECOSYSTEM

The ecosystem extends distributed computing to quantum devices through a layered architecture whose Quantum Internet infrastructure supports local and remote operations. A virtual quantum processor abstracts these resources while compilation accounts for hardware, network constraints, and communication overhead.

  • The Quantum Internet lets remote quantum devices communicate and cooperate on computational tasks through distributed quantum computing.
  • A layered stack links communication infrastructure, quantum operations, a virtual processor, compilation, and algorithm services.Higher layers depend on functionalities provided by lower layers.
  • The virtual processor connects remote qubits through virtual connections and scales its qubit count with interconnected physical processors.Remote operations are generally slower and less reliable than local operations.
  • Distributed compilation maps algorithms into local and remote operations while optimizing resources against hardware and network constraints.
  • The communication infrastructure combines classical and quantum links because quantum-information transmission generally also requires classical information.
  • Communication protocols impose overhead because computing resources must handle transmission processes and error correction.

IV. OPEN CHALLENGES AHEAD

The paper surveys open problems across the proposed Distributed Quantum Computing ecosystem, from local processor operations to interconnection and gate teleportation.

  • The open-problem discussion examines quantum processors, remote interconnection, quantum teleportation, and gate teleportation.

A. Quantum Processor

Quantum processors impose interaction constraints through their coupling maps, so unrestricted circuit descriptions require indirect operations with overhead. The section also considers the matter-to-flying-qubit conversion needed for communication.

  • A coupling map represents hardware limitations by connecting qubits that can directly interact.
  • Only qubits joined by an edge can directly execute interactions such as CNOT operations.
  • Non-adjacent operations can be implemented through state swaps, allowing circuit abstraction from hardware connectivity at an overhead.
  • The overhead from swapping makes device topology and circuit design important considerations.
  • Matter-flying transducers convert matter qubits used for processing and storage into flying qubits used for information transmission, and vice versa.

B. Quantum Link

The Quantum Link combines classical and quantum resources to connect remote quantum devices. Teleportation and dedicated communication qubits support state transfer, while their allocation creates a data-versus-communication trade-off.

  • Quantum teleportation: Quantum teleportation transfers an unknown state using an entangled pair and classical measurement results rather than directly copying or measuring the state.The destination applies X and Z corrections selected by the transmitted classical bits.
  • Quantum resources: Quantum links require both classical and quantum resources: two classical bits and a shared entangled qubit pair.Flying qubits are generally implemented with photons, while matter qubits support processing and storage.
  • Teledata: Teledata generalizes teleportation-based movement of quantum information from individual qubits to remote devices.Communication qubits are reserved to generate entanglement, while data qubits remain available for processing and storage.
  • Architecture trade-offs: Selecting communication qubits requires balancing connectivity against computing and storage capacity.Non-adjacent interactions are feasible but incur overhead, whereas adding communication qubits consumes valuable processing resources.

C. Teleporting Gates

Teleportation can support remote quantum operations, not only movement of quantum information. In particular, an entangled pair enables telegates that implement remote CNOT operations through local gates, measurements, and corrections.

  • Remote operations: Distributed quantum computation requires operations on qubits residing in different quantum devices.Moving information through teledata is one possible solution.
  • Telegates: An entangled pair enables a teleporting gate, or telegate, that provides remote operations as a service interacting with entanglement distribution.CNOT together with single-qubit gates is sufficient for implementing arbitrary quantum algorithms.
  • Remote CNOT: A remote CNOT between q0 and q4 uses communication qubits c0 and c1 holding an EPR pair, plus local CNOTs, single-qubit operations, and measurements.The communication qubits connect the two devices while q0 acts as control and q4 as target.

D. Distributed Quantum Compiler

A distributed quantum compiler must abstract remote-device complexity while accounting for topology-dependent delays, errors, and communication-resource constraints. It should optimize circuits for both direct and indirect connectivity.

  • Compiler abstraction: Algorithm designers benefit from an abstraction that hides physical complications behind quantum-circuit operations.A quantum algorithm is represented as a sequence of quantum gates on a register.
  • Remote-operation cost: Remote operations are likely slower and less reliable than local operations because their protocols include entanglement distribution and additional communication steps.These protocol steps introduce delays and larger error rates.
  • Topology awareness: The compiler must optimize circuits for network topology, including cases where required devices lack a direct shared communication-qubit connection.Entanglement swapping can support indirect connectivity through intermediate nodes.
  • Resource allocation: Increasing communication qubits raises the achievable rate of remote operations but reduces qubits available for computation.This creates a compiler and architecture trade-off between data and communication qubits.

E. What’s Next

Near-term development may begin by interconnecting nearby quantum computers in quantum farms. Such heterogeneous devices will require shared network protocols and a logical architecture for interpretable communication.

  • Near-term deployment: A likely first step is interconnecting a few nearby cloud-accessible quantum computers within a quantum farm.The envisioned devices may be located only a few meters apart.
  • Standards and architecture: Interconnecting technologically different quantum devices requires communication standards so they can exchange interpretable information.The Quantum Internet therefore needs a logical architecture analogous to the classical Internet protocol architecture.

V. CONCLUSIONS

The paper presents a layered ecosystem for large-scale quantum processor design using distributed quantum computing, with the Quantum Internet as its foundational infrastructure.

  • The layered ecosystem targets large-scale quantum processor design through a distributed quantum computing paradigm.
  • Its lowest layers provide networking and communication among remote quantum devices through the Quantum Internet.
  • Its upper layers map quantum algorithms onto physical infrastructure while optimizing computational resources and accounting for hardware and network constraints.
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