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

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 their Geometry in High Dimensions

Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.ed u Quantum states

Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.ed u Quantum states

Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.ed u Qubit states and MPS

Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.ed u Cyclic Matrix Product States (CMPS)

Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.ed u Cyclic Matrix Product States (CMPS)

Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.ed u Cyclic Matrix Product States (CMPS)

Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.ed u Cyclic Matrix Product States (CMPS)

Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.ed u Cyclic Matrix Product States (CMPS)

Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.ed u Cyclic Matrix Product States (CMPS)

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

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

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

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

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

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

Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.ed u Parametrization by trace varieties

Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.ed u Parametrization by trace varieties

Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.ed u CMPS(2,2,5)

Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.ed u A bounded variation

Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.ed u A bounded variation

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

Algebraic constraints on MPS-entangled qubits - Andrew Critch - critch@math.berkeley.ed u Further reading ● 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 \end{talk}[Thank You!]