Beni Yoshida

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Citation Yoshida, Beni, and Isaac L. Chuang. "Framework for classifying logical operators in stabilizer codes. Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access(More)
We propose a family of exactly solvable toy models for the AdS/CFT correspondence based on a novel construction of quantum error-correcting codes with a tensor network structure. Our building block is a special type of tensor with maximal entangle-ment along any bipartition, which gives rise to an isometry from the bulk Hilbert space to the boundary Hilbert(More)
We study chaos and scrambling in unitary channels by considering their entangle-ment properties as states. Using out-of-time-order correlation functions to diagnose chaos, we characterize the ability of a channel to process quantum information. We show that the generic decay of such correlators implies that any input subsystem must have near vanishing(More)
Recently, Bravyi and König have shown that there is a trade-off between fault-tolerantly imple-mentable logical gates and geometric locality of stabilizer codes. They consider locality-preserving operations which are implemented by a constant-depth geometrically-local circuit and are thus fault-tolerant by construction. In particular, they shown that, for(More)
  • Citation Hosur, Xiao-Liang Pavan, Daniel A Qi, Beni Roberts, Yoshida, Pavan Hosur +3 others
  • 2016
The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Abstract: We study chaos and scrambling in unitary channels by considering their en-tanglement properties as states. Using out-of-time-order correlation functions to diagnose chaos, we characterize the ability of a channel to process(More)
We study chaos and scrambling in unitary channels by considering their en-tanglement properties as states. Using out-of-time-order correlation functions to diagnose chaos, we characterize the ability of a channel to process quantum information. We show that the generic decay of such correlators implies that any input subsystem must have near vanishing(More)
We present simple lattice realizations of symmetry-protected topological (SPT) phases with q-form global symmetries where charged excitations have q spatial dimensions. Specifically, we construct d space-dimensional models supported on a (d + 1)-colorable graph by using a family of unitary phase gates, known as multi-qubit control-Z gates in quantum(More)
The emerging closeness between correlated spin systems and error-correcting codes enables us to use coding theoretical techniques to study physical properties of many-body spin systems. This thesis illustrates the use of classical and quantum coding theory in classifying quantum phases arising in many-body spin systems via a systematic study of stabilizer(More)
Overview This research group seeks to understand and develop the experimental and theoretical potential for information processing and communications using the laws of quantum physics. Two fundamental questions motivate our work: (1) How can a large-scale, reliable quantum computer be realized? (2) What new metrology applications, coding primitives, and(More)