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ACM Transactions on Architecture and Code Optimization

Datapath and control for quantum wires

Nemanja Isailovic, Mark Whitney, Yatish Patel, John David Kubiatowicz, Dean Copsey, Frederic T. Chong, Isaac L. Chuang, Mark Oskin

Published Mar 1, 2004• 21 citations
Publisher

Abstract

As quantum computing moves closer to reality the need for basic architectural studies becomes more pressing. Quantum wires, which transport quantum data, will be a fundamental component in all anticipated silicon quantum architectures. Since they cannot consist of a stream of electrons, as in the classical case, quantum wires must fundamentally be designed differently. In this paper, we present two quantum wire designs: a swap wire, based on swapping of adjacent qubits, and a teleportation wire, based on the quantum teleportation primitive. We characterize the latency and bandwidth of these two alternatives in a device-independent way. Furthermore, unlike classical wires, quantum wires need control signals in order to operate. We explore the complexity of the control mechanisms and the fundamental tension between the scale of quantum effects and the scale of the classical logic needed to control them. This "pitch-matching" problem imposes constraints on minimum wire lengths and wire intersections, leading us to use a SIMD approach for the control mechanisms. We ultimately show that qubit decoherence imposes a basic limit on the maximum communication distance of the swapping wire, while relatively large overhead imposes a basic limit on the minimum communication distance of the teleportation wire.

DOI
10.1145/980152.980155

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As quantum computing moves closer to reality the need for basic architectural studies becomes more pressing. Quantum wires, which transport quantum data, will be a fundamental component in all anticipated silicon quantum architectures. Since they cannot consist of a stream of electrons, as in the classical case, quantum wires must fundamentally be designed differently. In this paper, we present two quantum wire designs: a swap wire, based on swapping of adjacent qubits, and a teleportation wire, based on the quantum teleportation primitive. We characterize the latency and bandwidth of these two alternatives in a device-independent way. Furthermore, unlike classical wires, quantum wires need control signals in order to operate. We explore the complexity of the control mechanisms and the fundamental tension between the scale of quantum effects and the scale of the classical logic needed to control them. This "pitch-matching" problem imposes constraints on minimum wire lengths and wire intersections, leading us to use a SIMD approach for the control mechanisms. We ultimately show that qubit decoherence imposes a basic limit on the maximum communication distance of the swapping wire, while relatively large overhead imposes a basic limit on the minimum communication distance of the teleportation wire.
As quantum computing moves closer to reality the need for basic architectural studies becomes more pressing. Quantum wires, which transport quantum data, will be a fundamental component in all anticipated silicon quantum architectures. In this paper, we introduce a quantum wire architecture based upon quantum teleportation. We compare this teleportation channel with the traditional approach to transporting quantum data, which we refer to as the swapping channel. We characterize the latency and bandwidth of these two alternatives in a device-independent way and describe how the advanced architecture of the teleportation channel overcomes a basic limit to the maximum communication distance of the swapping channel. In addition, we discover a fundamental tension between the scale of quantum effects and the scale of the classical logic needed to control them. This pitch-matching problem imposes constraints on minimum wire lengths and wire intersections, which in turn imply a sparsely connected architecture of coarse-grained quantum computational elements. This is in direct contrast to the sea of gates architectures presently assumed by most quantum computing studies.
As quantum computing moves closer to reality the need for basic architectural studies becomes more pressing. Quantum wires, which transport quantum data, will be a fundamental component in all anticipated silicon quantum architectures. In this paper, we introduce a quantum wire architecture based upon quantum teleportation. We compare this teleportation channel with the traditional approach to transporting quantum data, which we refer to as the swapping channel. We characterize the latency and bandwidth of these two alternatives in a device-independent way and describe how the advanced architecture of the teleportation channel overcomes a basic limit to the maximum communication distance of the swapping channel. In addition, we discover a fundamental tension between the scale of quantum effects and the scale of the classical logic needed to control them. This "pitch-matching" problem imposes constraints on minimum wire lengths and wire intersections, which in turn imply a sparsely connected architecture of coarse-grained quantum computational elements. This is in direct contrast to the "sea of gates" architectures presently assumed by most quantum computing studies.
As quantum computing moves closer to reality the need for basic architectural studies becomes more pressing. Quantum wires, which transport quantum data, is a fundamental component in all anticipated silicon quantum architectures. We introduce a quantum wire architecture based upon quantum teleportation. We compare this teleportation channel with the traditional approach to transporting quantum data, which we refer to as the swapping channel. We characterize the latency and bandwidth of these two alternatives in a device-independent way and describe how the advanced architecture of the teleportation channel overcomes a basic limit to the maximum communication distance of the swapping channel. In addition, we discover a fundamental tension between the scale of quantum effects and the scale of the classical logic needed to control them. This "pitch-matching" problem imposes constraints on minimum wire lengths and wire intersections, which in turn imply a sparsely connected architecture of coarse-grained quantum computational elements. This is in direct contrast to the "sea of gates " architectures presently assumed by most quantum computing studies.
As quantum computing moves closer to reality the need for basic architectural studies becomes more pressing. Quantum wires, which transport quantum data, will be a fundamental component in all anticipated silicon quantum architectures. In this paper, we introduce a quantum wire architecture based upon quantum teleportation. We compare this teleportation channel with the traditional approach to transporting quantum data, which we refer to as the swapping channel. We characterize the latency and bandwidth of these two alternatives in a device-independent way and describe how the advanced architecture of the teleportation channel overcomes a basic limit to the maximum communication distance of the swapping channel. In addition, we discover a fundamental tension between the scale of quantum effects and the scale of the classical logic needed to control them. This "pitch-matching" problem imposes constraints on minimum wire lengths and wire intersections, which in turn imply a sparsely connected architecture of coarse-grained quantum computational elements. This is in direct contrast to the "sea of gates" architectures presently assumed by most quantum computing studies.
Advances in quantum devices have brought scalable quantum computation closer to reality. We focus on the system-level issues of how quantum devices can be brought together to form a scalable architecture. In particular, we examine promising silicon-based proposals. We discover that communication of quantum data is a critical resource in such proposals. We find that traditional techniques using quantum SWAP gates are exponentially expensive as distances increase and propose quantum teleportation as a means to communicate data over longer distances on a chip. Furthermore, we find that realistic quantum error-correction circuits use a recursive structure that benefits from using teleportation for long-distance communication. We identify a set of important architectural building blocks necessary for constructing scalable communication and computation. Finally, we explore an actual layout scheme for recursive error correction, and demonstrate the exponential growth in communication costs with levels of recursion, and that teleportation limits those costs.
Quantum computers will potentially be able to solve certain classes of problems more efficiently than possible on a classical computer. Due to the fragility of quantum data, a large scale quantum computer will require a robust system to enable reliable communication within the datapath. We present a scalable architecture for a quantum computer which specifically addresses communication concerns. Our design minimizes communication error by using a specialized interconnection network to perform long-distance movement. We developed a set of tools to construct and study quantum datapath designs based on ion trap quantum technology. Our tools automatically synthesize and insert the interconnection network used for long-distance communication into the target datapath. We present a set of greedy heuristics to optimize the routing and scheduling of communication within this network and show that our approach performs as well as an optimal case determined using integer linear programming. We study a number of different quantum circuits including randomly generated circuits, quantum adder circuits, and ultimately Shor's factorization algorithm and show that designs using our optimizations significantly improve upon prior work in terms of a probabilistic area delay metric.