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Update v0.13.0 (#280)
* Update version * Update examples
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Project.toml

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name = "MPSKit"
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uuid = "bb1c41ca-d63c-52ed-829e-0820dda26502"
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authors = "Lukas Devos, Maarten Van Damme and contributors"
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version = "0.13.0-DEV"
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version = "0.13.0"
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[deps]
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Accessors = "7d9f7c33-5ae7-4f3b-8dc6-eff91059b697"

docs/src/examples/classic2d/1.hard-hexagon/index.md

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docs/src/examples/classic2d/1.hard-hexagon/main.ipynb

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"file_extension": ".jl",
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"mimetype": "application/julia",
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"name": "julia",
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"version": "1.11.3"
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"version": "1.11.4"
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},
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"kernelspec": {
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"name": "julia-1.11",
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"display_name": "Julia 1.11.3",
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"display_name": "Julia 1.11.4",
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"language": "julia"
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}
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},

docs/src/examples/quantum1d/1.ising-cft/index.md

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docs/src/examples/quantum1d/1.ising-cft/main.ipynb

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"file_extension": ".jl",
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"mimetype": "application/julia",
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"name": "julia",
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"version": "1.11.3"
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"version": "1.11.4"
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},
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"kernelspec": {
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"name": "julia-1.11",
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"display_name": "Julia 1.11.3",
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"display_name": "Julia 1.11.4",
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"language": "julia"
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}
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},

docs/src/examples/quantum1d/2.haldane/index.md

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docs/src/examples/quantum1d/2.haldane/main.ipynb

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"file_extension": ".jl",
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"mimetype": "application/julia",
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"name": "julia",
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"version": "1.11.3"
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"version": "1.11.4"
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},
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"kernelspec": {
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"name": "julia-1.11",
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"display_name": "Julia 1.11.3",
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"display_name": "Julia 1.11.4",
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"language": "julia"
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}
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},

docs/src/examples/quantum1d/3.ising-dqpt/index.md

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````
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````
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[ Info: DMRG init: obj = +9.786965611574e+00 err = 1.5931e-01
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[ Info: DMRG 1: obj = -2.040021714914e+01 err = 1.8285343094e-03 time = 0.13 sec
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[ Info: DMRG 2: obj = -2.040021715178e+01 err = 2.4871877321e-07 time = 0.02 sec
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[ Info: DMRG 3: obj = -2.040021752115e+01 err = 3.2726624139e-05 time = 0.13 sec
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[ Info: DMRG 4: obj = -2.040021786702e+01 err = 1.5867482547e-06 time = 0.05 sec
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[ Info: DMRG 5: obj = -2.040021786703e+01 err = 2.4053039764e-07 time = 0.04 sec
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[ Info: DMRG conv 6: obj = -2.040021786703e+01 err = 8.0046454542e-11 time = 0.38 sec
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[ Info: DMRG init: obj = +9.627138678740e+00 err = 1.5287e-01
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[ Info: DMRG 1: obj = -2.040021714898e+01 err = 1.5582585194e-02 time = 0.10 sec
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[ Info: DMRG 2: obj = -2.040021715175e+01 err = 3.4655395009e-07 time = 0.02 sec
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[ Info: DMRG 3: obj = -2.040021763026e+01 err = 3.7385206468e-05 time = 0.06 sec
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[ Info: DMRG 4: obj = -2.040021786702e+01 err = 2.1782648849e-06 time = 0.04 sec
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[ Info: DMRG 5: obj = -2.040021786703e+01 err = 1.3998187485e-07 time = 0.02 sec
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[ Info: DMRG conv 6: obj = -2.040021786703e+01 err = 9.0384912069e-11 time = 0.26 sec
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````
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````
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[ Info: VUMPS init: obj = +4.927745903181e-01 err = 3.9258e-01
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[ Info: VUMPS 1: obj = -1.063233756013e+00 err = 1.6648378735e-02 time = 6.29 sec
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[ Info: VUMPS 2: obj = -1.063544409105e+00 err = 2.7483171408e-05 time = 0.01 sec
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[ Info: VUMPS 3: obj = -1.063544409973e+00 err = 2.5368088047e-07 time = 0.01 sec
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[ Info: VUMPS 4: obj = -1.063544409973e+00 err = 1.5438863784e-08 time = 0.01 sec
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[ Info: VUMPS 5: obj = -1.063544409973e+00 err = 7.7407478873e-10 time = 0.01 sec
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[ Info: VUMPS conv 6: obj = -1.063544409973e+00 err = 8.0759533336e-11 time = 6.32 sec
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[ Info: VUMPS init: obj = +4.981979532800e-01 err = 3.9530e-01
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[ Info: VUMPS 1: obj = -1.030701827098e+00 err = 1.0340065851e-01 time = 6.72 sec
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[ Info: VUMPS 2: obj = -1.063544326030e+00 err = 2.9155624606e-04 time = 0.01 sec
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[ Info: VUMPS 3: obj = -1.063544409971e+00 err = 1.8767724186e-06 time = 0.01 sec
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[ Info: VUMPS 4: obj = -1.063544409973e+00 err = 2.0959736412e-08 time = 0.00 sec
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[ Info: VUMPS 5: obj = -1.063544409973e+00 err = 2.7005924256e-09 time = 0.00 sec
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[ Info: VUMPS 6: obj = -1.063544409973e+00 err = 3.0434524435e-10 time = 0.00 sec
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[ Info: VUMPS conv 7: obj = -1.063544409973e+00 err = 2.4566755222e-11 time = 6.75 sec
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````
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````
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````
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1.0000000000000027 + 1.240079594756613e-17im
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1.0000000000000053 - 8.519001927175606e-17im
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````
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so the loschmidth echo takes on the pleasant form

docs/src/examples/quantum1d/3.ising-dqpt/main.ipynb

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"name": "julia",
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"version": "1.11.4"
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},
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"kernelspec": {
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"display_name": "Julia 1.11.3",
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"display_name": "Julia 1.11.4",
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docs/src/examples/quantum1d/4.xxz-heisenberg/index.md

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