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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)

- F S Ota, R S Muramatsu, B H Yoshida, L G Yamamoto
- The American journal of emergency medicine
- 2001

GPS (global positioning satellite system to determine one's position on earth) units have become inexpensive and compact. The purpose of this study is to assess the effectiveness of a GPS enhanced computer street map navigator to improve the ability of EMS drivers in an urban setting to locate their destination and shorten response times. For part I,… (More)

- Xie Chen, Bei Zeng, Zheng-Cheng Gu, Beni Yoshida, Isaac L Chuang
- Physical review letters
- 2009

Many-body entangled quantum states studied in condensed matter physics can be primary resources for quantum information, allowing any quantum computation to be realized using measurements alone, on the state. Such a universal state would be remarkably valuable, if only it were thermodynamically stable and experimentally accessible, by virtue of being the… (More)

- Samuel A Ocko, Beni Yoshida
- Physical review letters
- 2011

Many-body entangled systems, in particular topologically ordered spin systems proposed as resources for quantum information processing tasks, often involve highly nonlocal interaction terms. While one may approximate such systems through two-body interactions perturbatively, these approaches have a number of drawbacks in practice. In this Letter, we propose… (More)

- Beni Yoshida
- ArXiv
- 2011

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)

- Beni Yoshida, Walter Burke
- 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)

- Isaac Chuang, Yufei Ge, +10 authors Sam Ocko
- 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)

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)

- Isaac Chuang, Stephan Schulz, +8 authors Xie Chen
- 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)

- Samuel A Ocko, Xie Chen, +4 authors Isaac L Chuang
- 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)