Index

0-cells, 218

1-cells, 218

2-cells, 218

2-qubit register, 313

3-bar linkage, 214

3-cells, 218

4-bar linkage, 213

4-bar slider, 214

6-j symbols, 153

adX (Y ), 65

adjoint, 288

ambient group, 177, 178, 180, 189, 193

ambient group Λ,n, 261

ambient group of order (, n), 253

ambient group system, 272

ambient space, 265

ancilla, 16, 35, 38–40, 42–45, 54, 55, 321

Anyons, 150

Aravind Hypothesis, 120

Artin braid group, 109

automorphism group, 327

average value, 299

Bn, 110

bad extended rectangle, 47

Baker-Campbell-Hausdorﬀ formula, 65

bell basis, 336

Bell inequality, 120

Bell’s inequality, 120

Bendangle, 215

big adjoint representation, 308

bipartite quantum system, 325

Bit Flip, 15

blackbox, 309

bounded j-skeleton, 249

bounded knot (, n)-type, 250

bounded (lattice) ambient group Λ,n, 250

bounded lattice knots of order, 249

bra, 285

bra-(c)-ket, 285

bracket polynomial, 104, 126

bracket products, 288

bracket state summation model, 126

braid, 109

Brauer algebra, 139

Brauer category, 139

cat state, 36, 37

category, 134

cell complex, 219

Christoﬀel symbols, 62

circularly polarized, 283

classical entropy, 322, 324

Cliﬀord group, 28–30, 35, 42, 43, 45, 51

closed braid, 110

CNOT, 28, 30, 35, 116, 327, 329, 330, 332

coding space, 15

color coding scheme, 222

colored Jones polynomials, 104, 171

commutator, 300, 308

compatible, 299

complex projective space, 287

concatenated codes, 48, 54

concentration of measure, 6

conditional authentic move, 237

conditional entropy, 5

conditional OP local

auto-homeomorphisms, 237

conditional symbolic moves, 236

conjugate points, 62

connection, 61

connection point, 181

constants of motion, 72

contiguous, 182

continuous ambient group, 203, 263

continuous knot type, 263

control bit, 328

controlled-NOT, 329

correct extended rectangle, 47

CSS code, 23, 24, 35, 38

cubes, 218

cubic honeycomb, 218

curvature, 61, 213, 218

decoherence, 14, 16

decoherence-free subspaces (DFS), 26, 27

degenerate, 19, 291

343