Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

New Journal of Physics

Bulk fault-tolerant quantum information processing with boundary addressability

Gerardo A. Paz-Silva, Gavin K. Brennen, Jason Twamley

Published Jan 11, 2011• 5 citations
Publisher

Abstract

We present a fault-tolerant (FT) semi-global control strategy for universal quantum computers. We show that an N -dimensional array of qubits where only ( N −1)-dimensional addressing resolution is available is compatible with FT universal quantum computation. What is more, we show that measurements and individual control of qubits are required only at the boundaries of the FT computer. Our model alleviates the heavy physical conditions on current qubit candidates imposed by addressability requirements and represents an option for improving their scalability.

DOI
10.1088/1367-2630/13/1/013011

Related papers

Fault tolerant Quantum Information Processing with Holographic control

Gerardo A. Paz-Silva, Gavin K. Brennen, Jason Twamley

We present a fault-tolerant semi-global control strategy for universal quantum computers. We show that N-dimensional array of qubits where only (N-1)-dimensional addressing resolution is available is compatible with fault-tolerant universal quantum computation. What is more, we show that measurements and individual control of qubits are required only at the boundaries of the fault-tolerant computer, i.e. holographic fault-tolerant quantum computation. Our model alleviates the heavy physical conditions on current qubit candidates imposed by addressability requirements and represents an option to improve their scalability.

arXiv:1008.1634•Aug 10, 2010•1 citation

Quantum Fault Tolerance in Systems with Restricted Control

Joseph F. Fitzsimons, Jason Twamley

In many proposed architectures for quantum computing the physics of the system prevent qubits from being individually controlled. In such systems universal computation may be possible via bulk manipulation of the system. Here, we describe a method to execute globally controlled quantum information processing which admits a fault tolerant quantum error correction scheme. Our scheme nominally uses three species of addressable two-level systems which are arranged in a one dimensional array in a specific periodic arrangement. We show that the scheme possesses a fault tolerant error threshold.

Electronic Notes in Theoretical Computer Science•Dec 1, 2009•6 citations

Globally controlled fault tolerant quantum computation

Joe Fitzsimons, Jason Twamley

We describe a method to execute globally controlled quantum information processing which admits a fault tolerant quantum error correction scheme. Our scheme nominally uses three species of addressable two-level systems which are arranged in a one dimensional array in a specific periodic arrangement. We show that the scheme possesses a fault tolerant error threshold.

arXiv:0707.1119•Jul 8, 2007•3 citations

Quantum error correction in globally controlled arrays

Adel Bririd, Simon C. Benjamin, Alastair Kay

An interesting concept in quantum computation is that of global control (GC), where there is no need to manipulate qubits individually. One can implement a universal set of quantum gates on a one-dimensional array purely via signals that target the entire structure indiscriminately. But large-scale quantum computation imposes several requirements in terms of noise level, time, space (scaling) and in particular parallelism. Keeping in mind these requirements, we prove GC can support error-correction, by implementing two simple codes. This opens the way to fault-tolerant computation with this type of architecture.

arXiv:quant-ph/0308113•Aug 21, 2003•7 citations

Fault-Tolerant Quantum Computation via Exchange Interactions

Masoud Mohseni, Daniel A. Lidar

Quantum computation can be performed by encoding logical qubits into the states of two or more physical qubits, and control of effective exchange interactions and possibly a global magnetic field. This "encoded universality" paradigm offers potential simplifications in quantum computer design since it does away with the need to control physical qubits individually. Here we show how encoded universality schemes can be combined with fault-tolerant quantum error correction, thus establishing the scalability of such schemes.

arXiv:quant-ph/0406198•Physical Review Letters•Feb 3, 2005•30 citations

Global Control in a Superconducting Quantum Computer

Marco Riccardi, Roberto Menta, Francesco Cioni +3 more

We propose a platform to implement a scalable universal quantum computer based on a 2D array of superconducting qubits. Notably, calculations in our scheme are enabled by a set of only three global driving signals, irrespective of the number of qubits, ensuring full scalability of the computation. In stark contrast with the existing literature, global control in our scheme is achieved by leveraging the longitudinal ZZ coupling between neighboring qubits. We show how this enables information flow, one-and two-qubit gates through a series of three global pulses that act together on different subsets of the physical qubits in our system. These findings provide an alternative route to the realization of scalable and fault-tolerant superconducting quantum computers with reduced wiring, bringing them one step closer to solving practical problems in our daily lives.

IEEE International Conference on Quantum Computing and Engineering (QCE)•Sep 15, 2024•1 citation
We present a fault-tolerant (FT) semi-global control strategy for universal quantum computers. We show that an N -dimensional array of qubits where only ( N −1)-dimensional addressing resolution is available is compatible with FT universal quantum computation. What is more, we show that measurements and individual control of qubits are required only at the boundaries of the FT computer. Our model alleviates the heavy physical conditions on current qubit candidates imposed by addressability requirements and represents an option for improving their scalability.
We present a fault-tolerant semi-global control strategy for universal quantum computers. We show that N-dimensional array of qubits where only (N-1)-dimensional addressing resolution is available is compatible with fault-tolerant universal quantum computation. What is more, we show that measurements and individual control of qubits are required only at the boundaries of the fault-tolerant computer, i.e. holographic fault-tolerant quantum computation. Our model alleviates the heavy physical conditions on current qubit candidates imposed by addressability requirements and represents an option to improve their scalability.
In many proposed architectures for quantum computing the physics of the system prevent qubits from being individually controlled. In such systems universal computation may be possible via bulk manipulation of the system. Here, we describe a method to execute globally controlled quantum information processing which admits a fault tolerant quantum error correction scheme. Our scheme nominally uses three species of addressable two-level systems which are arranged in a one dimensional array in a specific periodic arrangement. We show that the scheme possesses a fault tolerant error threshold.
An interesting concept in quantum computation is that of global control (GC), where there is no need to manipulate qubits individually. One can implement a universal set of quantum gates on a one-dimensional array purely via signals that target the entire structure indiscriminately. But large-scale quantum computation imposes several requirements in terms of noise level, time, space (scaling) and in particular parallelism. Keeping in mind these requirements, we prove GC can support error-correction, by implementing two simple codes. This opens the way to fault-tolerant computation with this type of architecture.
Quantum computation can be performed by encoding logical qubits into the states of two or more physical qubits, and control of effective exchange interactions and possibly a global magnetic field. This "encoded universality" paradigm offers potential simplifications in quantum computer design since it does away with the need to control physical qubits individually. Here we show how encoded universality schemes can be combined with fault-tolerant quantum error correction, thus establishing the scalability of such schemes.
We propose a platform to implement a scalable universal quantum computer based on a 2D array of superconducting qubits. Notably, calculations in our scheme are enabled by a set of only three global driving signals, irrespective of the number of qubits, ensuring full scalability of the computation. In stark contrast with the existing literature, global control in our scheme is achieved by leveraging the longitudinal ZZ coupling between neighboring qubits. We show how this enables information flow, one-and two-qubit gates through a series of three global pulses that act together on different subsets of the physical qubits in our system. These findings provide an alternative route to the realization of scalable and fault-tolerant superconducting quantum computers with reduced wiring, bringing them one step closer to solving practical problems in our daily lives.