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- Fernando Pastawski, Beni Yoshida, Daniel Harlow, John Preskill
- 2015

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)

What is the limit of information storage capacity of discrete spin systems? To answer this question, we study classical error-correcting codes which can be physically realized as the energy ground space of gapped local Hamiltonians. For discrete spin systems on a D-dimensional lattice governed by local frustration-free Hamiltonians, the following bound is… (More)

- Pavan Hosur, Xiao-Liang Qi, Daniel A Roberts, Beni Yoshida
- 2016

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)

- 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)

- Pavan Hosur, Xiao-Liang Qi, Daniel A Roberts, Beni Yoshida
- 2016

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)

- Beni Yoshida
- 2015

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)

- Beni Yoshida, Edward H Farhi, Sergey Bravyi, Oliver Buerschaper, Ignacio Cirac, Jeongwan Haah +19 others
- 2012

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)

- Peter Herskind, Anders Mortensen, Paul Antohi, Xie Chen, Arolyn Conwill, Amira Eltony +7 others
- 2011

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)

- Samuel A Ocko, Xie Chen, Bei Zeng, Beni Yoshida, Zhengfeng Ji, Mary Beth Ruskai +1 other
- Physical review letters
- 2011

It is well known that the ground state energy of many-particle Hamiltonians involving only 2-body interactions can be obtained using constrained optimizations over density matrices which arise from reducing an N-particle state. While determining which 2-particle density matrices are "N-representable" is a computationally hard problem, all known extreme… (More)

- Peter Herskind, Stephan Schulz, Paul Antohi, Xie Chen, Yufei Ge, Tony Kim +4 others
- 2009

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, mathematical algorithms,… (More)

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