Distance Scales for Interconnecting Quantum Computing Elements

  1. My main motivation.
  2. Main issues
  3. This paper is not about the technology of quantum interconnections
  4. Go metric!
  5. Rough scales rather than precise distances.
  6. What is a quantum computing element?
  7. Quantum computing architecture
  8. Lattice of qubits
  9. What is a quantum connection?
  10. Modular quantum computers.
  11. Distributed quantum processing.
  12. There’s no single technology for all distance scales.
  13. Twin constraints of distance between qubits.
  14. Spooky action at a distance.
  15. Stationary and flying qubits.
  16. Shuttling qubits and modular quantum computers.
  17. Shuttling qubits and quantum networking.
  18. Range of distance scales for each technology.
  19. Quantum communication.
  20. Quantum networking.
  21. Quantum storage.
  22. Quantum sensing.
  23. Signal carrier, medium, materials, and environment.
  24. Distance scales — logical and physical.
  25. Logical or functional distance scales.
  26. Physical distance scales.
  27. Quantum networking distance scales.
  28. No rack-size quantum computers at present
  29. When might we see the first modular or networked quantum computers?
  30. Security
  31. Summary and conclusions

My main motivation

  1. To support much larger numbers of qubits.
  2. To support greater connectivity between qubits, especially those which are not physically adjacent.

Main issues

  1. Limit of qubits in a single lattice. Desire to support multiple groups (lattices) of qubits on a single chip.
  2. Limit of qubits on a single chip. Desire to support multiple chips.
  3. Difficulties of connecting or coupling qubits on a single chip. Either simply not physically adjacent or at too great a distance.
  4. Difficulties of connecting or coupling qubits between multiple chips. Generally a matter of the distance.
  5. Desire for modular quantum computers. Desire to support multiple modules and subsystems to handle much larger numbers of qubits. And cope with connectivity issues for larger numbers of qubits — and distance between qubits to be connected.
  6. Shuttling (moving) qubits. To bring them closer to enable or facilitate two-qubit gates on quantum computers which support shuttling (e.g., trapped-ion devices.)
  7. Desire for tightly-linked quantum computers. Analogous to classical multiprocessors. Multiple quantum processors working very closely together without heavy overhead of open networking.
  8. Desire to network quantum computers. Desire to support distributed quantum computing. And much larger numbers of qubits. And dealing with significant distances for quantum connectivity.

This paper is not about the technology of quantum interconnections

Go metric!

Rough scales rather than precise distances

What is a quantum computing element?

  1. Qubit. An individual qubit.
  2. Lattice of qubits. A contiguous lattice, grid, or other arrangement of qubits with direct connections. On a single chip or space in a vacuum for trapped ions and neutral atoms.
  3. Quantum chip. A chip containing qubits. One or more lattices of contiguous qubits. May be a single lattice or multiple lattices, analogous to a multi-core classical processor chip.
  4. Module. A module of qubits. One or more quantum chips (and possibly non-quantum support circuitry. May be a single chip containing some number of qubits in one or more lattices, or multiple quantum chips and multiple lattices.
  5. Subsystem. A subsystem of a quantum computer. Multiple modules, with quantum connections between the modules.
  6. Quantum processing unit (QPU). A complete quantum processing unit (QPU). One or more modules and subsystems. Especially the control circuitry for executing quantum logic gates and measurements.
  7. Multiple QPUs. Multiple quantum processing units in the same quantum computer system. They may be independent and isolated and simply share all of the non-quantum hardware and support software, or they may support quantum connections between qubits of the QPUs. Comparable to a multi-core classical computer chip.
  8. Quantum computer system. A complete quantum computer system. Might be a single QPU or multiple QPUs with quantum connections between them. Also classical network connections to external classical computer systems.
  9. Tightly-coupled quantum computers. Much closer and faster than even a local area network or local cluster. Comparable to a classical multiprocessor system. Possibly comparable to a classical supercomputer. This is tightly-coupled quantum state — classical bits are not relevant.
  10. Network of quantum computer systems. Using a quantum network to connect quantum computers, at the quantum level — connecting quantum states rather than classical bits. Four scales: local cluster of quantum computers, quantum local area networks, quantum wide area networks, and quantum Internet.
  11. Local cluster of quantum computers. A quantum local area network, but relatively short distances — maybe a few feet to twenty feet. Looser and further distance than tightly coupled. Greater interaction within the cluster than between computers on a local area network.
  12. Quantum local area network. Typically within a building. Looser and further distance than tightly-coupled or clusters.
  13. Quantum wide area network. Much looser and much greater distance than a quantum local area network.
  14. Quantum Internet. Great distances and little control over connections. Open access.

Quantum computing architecture

Lattice of qubits

What is a quantum connection?

  1. Execution of a quantum logic gate — on a single qubit.
  2. Execution of a quantum logic gate — between two or more qubits.
  3. Entanglement between two or more qubits.
  4. Measurement of a qubit.

Modular quantum computers

Distributed quantum processing

There’s no single technology for all distance scales

Twin constraints of distance between qubits

  1. Isolation. The two qubits must be far enough apart that unless explicitly entangled, they constitute isolated quantum systems. Changes to the quantum state of one qubit cannot affect the quantum state of the other qubit.
  2. Interaction. The two qubits must be placed close enough that they can interact when a quantum logic gate is executed that refers to those two qubits. Or when a qubit is to be measured. There must be a viable quantum connection between the two qubits, such as a cavity or coupler through which a laser or microwave signal can reliably travel to perform the interaction.

Spooky action at a distance

Stationary and flying qubits

Shuttling qubits and modular quantum computers

Shuttling qubits and quantum networking

Range of distance scales for each technology

Quantum communication

Quantum networking

Quantum storage

Quantum sensing

Signal carrier, medium, materials, and environment

  1. Signal carrier. Electron, photon, ion, neutral atom. Frequency or energy.
  2. Medium. Wire, optical fiber, vacuum, air. The normal path of the signal.
  3. Materials. What type of wire, cable, or optical fiber. What other materials the signal might need to traverse or propagate through.
  4. Environment. Including temperature — cryogenic, room temperature, humidity, air pressure, etc. Noisiness — extraneous electromagnetic radiation.

Distance scales — logical and physical

  1. Logical or functional distance scales. What capabilities are being attempted or enabled. What is the functional effect. Why do it. What is trying to be accomplished.
  2. Physical distance scales. The actual distances. What physical entities are being traversed.

Logical or functional distance scales

  1. Within a single qubit. The shortest distance.
  2. Physically adjacent to another qubit. Distant enough to maintain isolation, but close enough to enable interaction under control of execution of a quantum logic gate.
  3. Within the same lattice of qubits. Under a millimeter to a couple of millimeters.
  4. Within the same chip. Same quantum processing unit (QPU.) May have multiple lattices of qubits, analogous to a multi-core classical CPU chip. Maybe multiple modules within a single chip. Fraction of a centimeter to maybe a full centimeter.
  5. Within the same module. Maybe multiple chips for a single module. Up to a few centimeters.
  6. Within the same subsystem. Maybe multiple modules. Up to a few tens or dozens of centimeters. Maybe the same quantum processing unit.
  7. Between subsystems, within the same system. Possibly multiple subsystems. A few dozen centimeters to a meter or so. Possibly multiple processing units, but they may be integrated into a single processing unit.
  8. Between QPUs of a multi-QPU system. Similar to connections between subsystems — a few dozen centimeters to a meter.
  9. Tightly-coupled systems. Multiple systems but with a tight interconnect. Under a meter to maybe a couple of meters.
  10. Within the same rack. Multiple, independent but networked systems. Under a meter to maybe a couple of meters.
  11. Adjacent racks. Up to a couple of meters, but maybe less than a single meter.
  12. Multiple adjacent non-rack systems. A few to ten meters.
  13. Within the same room. No more than a few dozens of meters.
  14. Within the same facility. Such as a data center or building of a campus. Dozens to hundreds of meters.
  15. Within the same cluster. May be within the same rack, the same room, or the same facility.
  16. Within the same campus. A few hundred yards, maybe a mile.
  17. Nearby. Within one mile or two.
  18. Locally. Within 5–10 miles.
  19. Sub-regional. Within 50–100 miles.
  20. Regional. Within a few hundred miles.
  21. Super-regional. E.g., east or west coast or midwest. Possibly 1,000 to 1,500 miles.
  22. Continental. Up to a few thousand miles.
  23. Intercontinental. Three to ten thousand miles.
  24. Global, planetary. Up to 12,500 miles.
  25. Aviation. A few thousand to 100,000 feet.
  26. Karman line. The edge of space, the upper limit of the Earth’s atmosphere. 100 kilometers. 62.5 miles.
  27. Near-planet, orbital. Low-earth orbit (LEO). Up to a few hundred miles.
  28. Medium earth orbit. A thousand to a few thousand miles. Well above LEO, well under GEO
  29. High orbital. More than 1,000 miles above surface. Includes geostationary, geosynchronous, and polar orbital — GEO.
  30. Space. Beyond earth orbit.
  31. Moon.
  32. Mars.
  33. Asteroids. Beyond Mars.
  34. Deep space. Beyond even Mars and the asteroid belt, possibly even beyond the edge of the solar system.

Physical distance scales

  1. Planck length. 1.616255 times 10 to the minus 35 meters or 1.616255 times 10 to the minus 25 angstroms. The absolute smallest distance possible. Not particularly relevant for building real devices, but it is the ultimate, theoretical baseline.
  2. 1 angstrom. One tenth of a nanometer. Lower limit for most practical distances. Anything smaller practical?
  3. Sub-nanometer. Under 10 angstroms.
  4. 1 nanometer. The fundamental unit for measurement at small scales. Angstrom may be preferred for even smaller scales.
  5. 5 nanometers.
  6. 10 nanometers.
  7. 100 nanometers.
  8. 1 micrometer. AKA micron.
  9. 10 micrometers.
  10. 100 micrometers. One tenth of a millimeter. Width of a human hair.
  11. 1 millimeter. Rough limit for visually recognizable features. Limit between multiple lattices on a single chip — no more than a few millimeters.
  12. 10 millimeters. One centimeter. Limit for connections within a quantum module — 2 to 10 centimeters.
  13. 100 millimeters. Ten centimeters. One tenth of a meter. Limit for many tight quantum connections. Limit for connections between subsystems — 10 to 75 centimeters.
  14. 1 meter. General unit for size or distance between human-scale objects. Limit for many quantum connections within a quantum computer system or tightly-linked systems.
  15. 10 meters. Limit for quantum connections to nearby quantum computer systems.
  16. 100 meters. One tenth of a kilometer. Limit for a quantum local area network — 10 to 250 meters, or so.
  17. 1 kilometer. A little over half a mile (5/8 mile, 0.625 miles.) Low end for quantum wide area networks.
  18. 10 kilometers. 6.25 miles.
  19. 100 kilometers. 62.5 miles. Also the Karman line, the edge of space, the upper limit of the Earth’s atmosphere.
  20. 1,000 kilometers. 625 miles.
  21. 10,000 kilometers. 6,250 miles.
  22. 100,000 kilometers. 62,500 miles. Sufficient for even two devices in geosynchronous Earth orbit.
  23. Moon. Moon orbiting Earth — 363,000 kilometers to 406,000 kilometers + 12,750 kilometer diameter of Earth.
  24. Mars. Both Mars and Earth orbiting the sun — 56 million to 401 million kilometers.
  25. 500 million kilometers. Deep space.

Quantum networking distance scales

  1. Local. Single quantum computer. No quantum networking. All current quantum computers. Any networking is strictly classical computer networking.
  2. Tightly-coupled quantum computers. Multiple quantum computer systems. Very, very short and very, very fast quantum connections between systems. Not clear whether this should actually be classified as quantum networking per se, but it’s borderline and different from connections within a single quantum computer. A hybrid, for sure.
  3. Rack. Multiple quantum computer systems within a single rack mounting. Very short distances, no more than a couple of meters, or only a fraction of a meter.
  4. Local area. Relatively near, multiple quantum computers. Including within a data center or single building.
  5. Campus. Still a local area network, but spanning multiple buildings.
  6. Wide area. Relatively distant, potentially large number of quantum computers.
  7. Global. Everywhere on the planet and possibly in earth orbit as well.
  8. Orbital. 100 to 1,000 miles above the surface of the Earth, or even 22,000 miles for geostationary and geosynchronous orbit.
  9. Deep space. Beyond Earth orbit. Moon, Mars, asteroids, and beyond.

No rack-size quantum computers at present

When might we see the first modular or networked quantum computers?

Security

  1. Levels of control.
  2. Forms of access.
  1. Organizations
  2. Groups within organizations
  3. Teams
  4. Individuals
  5. Applications
  6. Processes
  7. Software modules
  8. Algorithms or individual functions
  1. Access to read
  2. Access to modify
  3. Access to add
  4. Access to remove
  5. Access to execute
  6. Control access to data and functions
  7. Monitor access to data and functions
  8. Access to systems
  9. Control access to systems
  10. Monitor access to systems
  11. Throttle access to systems
  12. Access to transport
  13. Control access to transport
  14. Monitor access to transport
  15. Throttle use of transport
  16. Deny access to transport

Summary and conclusions

  1. When discussing a new quantum computing technology, be explicit about what distances are supported for the various elements of the quantum computing system.
  2. Distances need to be considered between individual qubits, lattices of qubits, chips, modules, subsystems, systems, tightly-connected systems, clusters, local area networks, wide area networks, and global networks, as well orbital, lunar, planetary, and deep space systems. And these are quantum connections, not classical connections with classical bits.
  3. When contemplating quantum computing over some distance, explicitly consider what different technologies might be needed to accommodate that particular distance. Different technologies may be needed for different distances.
  4. Current quantum computers are limited to very short distances.
  5. Much research is needed in quantum networking.
  6. Much research is needed in modular quantum computing.
  7. Much research is needed in tightly-coupled quantum computers.
  8. Much research is needed in supporting dramatically greater numbers of qubits.
  9. Much research is needed in supporting dramatically greater connectivity between quantum computing elements.
  10. Much research is needed in quantum connections in general.
  11. Much research is needed to facilitate operation of quantum processing elements at much greater distances (greater coherence, fewer errors), and simultaneously more research to enable many more qubits to be packed much closer (better isolation.)
  12. As quantum computing systems become more open, more modular, and more distributed, security becomes much more urgent.

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Jack Krupansky

Jack Krupansky

Freelance Consultant

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