Algebraic constraints on MPS-entangled qubits Andrew Critch, UC - - PowerPoint PPT Presentation

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Algebraic constraints on MPS-entangled qubits Andrew Critch, UC - - PowerPoint PPT Presentation

Apr 04, 2023 145 likes •383 views

Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.ed u Algebraic constraints on MPS-entangled qubits Andrew Critch, UC Berkeley (joint with Jason Morton, PSU) September, 2012 RTG Workshop on Tensors and

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

Algebraic constraints on MPS-entangled qubits

Andrew Critch, UC Berkeley (joint with Jason Morton, PSU) September, 2012 RTG Workshop on Tensors and their Geometry in High Dimensions

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

Quantum states

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

Quantum states

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

Qubit states and MPS

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

Cyclic Matrix Product States (CMPS)

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

Cyclic Matrix Product States (CMPS)

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

Cyclic Matrix Product States (CMPS)

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

Cyclic Matrix Product States (CMPS)

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

Cyclic Matrix Product States (CMPS)

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

Cyclic Matrix Product States (CMPS)

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

Parametrization by trace varieties

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

Parametrization by trace varieties

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

CMPS(2,2,5)

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

A bounded variation

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

A bounded variation

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

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Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.edu

  • A.C., (2012), Binary hidden Markov models and varieties,

arXiv:1206.0500, http://arxiv.org/abs/1206.0500

  • A.C., J. Morton (2012), Polynomial constraints on

representing entangled qubits as matrix product states, arxiv:1210.2812 http://arxiv.org/abs/1210.2812

Further reading

\end{talk}[Thank You!]