EXPRESSO: Revista - Qualidade de Vida

From: Subject: EXPRESSO: Revista - Qualidade de Vida Date: Sat, 18 Jan 2003 00:55:26 -0000 MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_000_02E0_01C2BE8C.4A016720"; type="text/html" X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1106 This is a multi-part message in MIME format. ------=_NextPart_000_02E0_01C2BE8C.4A016720 Content-Type: text/html; charset="Windows-1252" Content-Transfer-Encoding: quoted-printable Content-Location: http://segundasedicoes.expresso.pt/revista/qualidade/interior.asp?edicao=1509&id_artigo=ES37460 EXPRESSO: Revista - Qualidade de Vida

	EXPRESSO = ONLINE

REGISTO

1=AA&= nbsp;P=C1GINA

REVIST= A

OPINI=C3= O

PA=CDS

ECONO= MIA

= INTERNACIONAL

DESPO= RTO

VIDAS

CARTAZ<= /A>

PESQU= ISA

F=D3RUNS

PUBLICA=C7=D5ES

GUIAS

DOSSIERS

=CDNDIC= E

EDI=C7= =D5ES

CO= MENT=C1RIOS

=20

29/9/2001

Criptografia = qu=E2ntica=20

Parece = fic=E7=E3o=20 cient=EDfica, mas =E9 j=E1 uma realidade: as propriedades = mais bizarras=20 das part=EDculas subat=F3micas permitem criar cifras = imposs=EDveis de=20 violar.

Texto de Nuno = Crato

Um novo livro que explica como as = leis da=20 mec=E2nica qu=E2ntica podem ser usadas para conceber = um tipo novo=20 de computa=E7=E3o

A=20 seguran=E7a das transac=E7=F5es banc=E1rias, do com=E9rcio = electr=F3nico e das=20 mensagens militares est=E1 baseada em sistemas de = criptografia muito=20 seguros. Mas muito seguros n=E3o =E9 o mesmo que = absolutamente seguros.=20 A seguran=E7a do mais fi=E1vel dos sistemas modernos de = criptografia - o=20 chamado RSA de que temos vindo a falar nestas p=E1ginas da = =ABRevista=BB -=20 baseia-se na dificuldade em encontrar os factores primos de = n=FAmeros=20 muito grandes.

Os algoritmos at=E9 hoje conhecidos n=E3o = conseguem fazer=20 essa factoriza=E7=E3o em tempo =FAtil, mesmo com recurso aos = computadores=20 mais poderosos que existem. Mas basta que algum matem=E1tico = descubra=20 um processo eficaz de efectuar essa factoriza=E7=E3o, ou que = entre em=20 campo uma nova gera=E7=E3o de computadores, os chamados = computadores=20 qu=E2nticos em que j=E1 muitos cientistas trabalham, para = que o mundo da=20 comunica=E7=E3o, tal como hoje o conhecemos, possa entrar em = colapso. Se=20 algum desses avan=E7os revolucion=E1rios for de repente = alcan=E7ado, o=20 com=E9rcio electr=F3nico deixar=E1 de ser seguro, os = militares ter=E3o de=20 rever todos os seus sistemas de comunica=E7=E3o e as = institui=E7=F5es=20 banc=E1rias precisar=E3o de retroceder e passar a fazer = transac=E7=F5es a=20 passo de caracol. Ser=E1 o colapso da sociedade da = informa=E7=E3o.

O que toda a gente procura =E9 uma nova = forma de=20 criptografia que seja verdadeiramente segura. Antes que a = fal=EAncia=20 do RSA se avizinhe, matem=E1ticos, f=EDsicos e cientistas da = computadoriza=E7=E3o t=EAm esperan=E7as de p=F4r em = pr=E1tica um novo sistema=20 que ser=E1 completamente inviol=E1vel. E s=EA-lo-=E1 porque = se baseia nas=20 leis mais profundas da mat=E9ria, nas leis que regem a = incerteza do=20 mundo qu=E2ntico. A absoluta impossibilidade de conhecer =E0 = partida o=20 comportamento das part=EDculas elementares ser=E1 a garantia = da=20 seguran=E7a das mensagens.

A = ideia germina h=E1=20 j=E1 bastante tempo nas mentes dos investigadores. Charles = Bennett,=20 cientista de computadoriza=E7=E3o no centro da IBM em Nova = Iorque, foi=20 um dos que andaram =E0 procura de uma solu=E7=E3o. = Finalmente, j=E1 na=20 d=E9cada de 80, em conjunto com um colega, Gilles Brassard, = conseguiu=20 idealizar um sistema de criptografia qu=E2ntico. Durante = muito tempo,=20 tudo se manteve no terreno da especula=E7=E3o. Mas, nos = =FAltimos dois=20 anos, os avan=E7os da t=E9cnica permitiram p=F4r em = pr=E1tica prot=F3tipos de=20 sistemas criptogr=E1ficos que parecem ser absolutamente=20 inviol=E1veis.

Para discutir os problemas de transmiss=E3o = de mensagens=20 cifradas, os especialistas costumam recorrer a tr=EAs = personagens=20 fict=EDcias: Alice, Bob e Eva. A primeira personagem = representa o=20 emissor das mensagens, a segunda o receptor e a terceira o = intruso=20 que tenta violar o segredo da comunica=E7=E3o. H=E1 muitos = sistemas=20 criptogr=E1ficos. Um deles, que =E9 a base do processo = proposto por=20 Charles Bennett e seus colaboradores, utiliza uma chave de=20 codifica=E7=E3o aleat=F3ria que =E9 t=E3o longa quanto a = mensagem. Alice=20 come=E7a por digitalizar o texto que pretende enviar para = Bob,=20 transformando-o numa sequ=EAncia de zeros e uns, a linguagem = bin=E1ria=20 dos computadores. Pega ent=E3o na chave, que =E9 outra = sequ=EAncia de=20 zeros e uns t=E3o longa quanto a mensagem original, e = adiciona as duas=20 fileiras de n=FAmeros. Transmite o resultado a Bob, que tem = consigo a=20 chave que Alice utilizou. Bob subtrai-lhe a chave e recupera = a=20 mensagem original. Para a ler, ter=E1 naturalmente de = transformar a=20 sequ=EAncia de zeros e uns numa sequ=EAncia de letras, mas = essa =E9 uma=20 tarefa rotineira para qualquer computador.

Para este sistema ser verdadeiramente = inviol=E1vel =E9=20 importante que a chave seja uma sequ=EAncia aleat=F3ria de = zeros e uns e=20 que seja utilizada apenas uma vez. Isso significa que esses = n=FAmeros=20 t=EAm de ser gerados em avan=E7o e que Alice os tem de = transmitir a Bob.=20 E aqui come=E7am os problemas. Se Alice e Bob nunca se = encontram=20 pessoalmente, como acontece entre os parceiros do com=E9rcio = electr=F3nico, t=EAm de confiar num m=E9todo de = transmiss=E3o da chave. E=20 como o v=E3o fazer? De forma cifrada? Mas para isso precisam = de ter=20 acordado numa outra chave, pelo que o problema parece n=E3o = ter=20 solu=E7=E3o. Em alguma altura, Alice e Bob ter=E3o de se = encontrar ou=20 confiar num mensageiro. Como Eva est=E1 sempre =E0 espreita, = a seguran=E7a=20 absoluta n=E3o existe.

Entra aqui o mundo=20 qu=E2ntico pela m=E3o de Charles Bennett e dos cientistas da = computariza=E7=E3o. Este mundo tem regras estranhas, = imposs=EDveis de=20 intuir com base nas nossas viv=EAncias quotidianas. Uma = delas =E9 a=20 incerteza. E essa incerteza n=E3o se baseia no nosso = desconhecimento,=20 =E9 intr=EDnseca =E0 pr=F3pria vida das part=EDculas = subat=F3micas.

Alice come=E7a por enviar a Bob uma = sequ=EAncia de=20 part=EDculas de luz, ou seja, uma sequ=EAncia de fot=F5es. = No seu aparelho=20 tem dois polarizadores, um orientado na vertical e outro a = 45=BA, como=20 se pode ver na figura. Para estabelecer a chave, alterna os=20 polarizadores aleatoriamente e faz, por exemplo, = corresponder 0 a um=20 fot=E3o que seja polarizado na vertical e 1 a um que o seja = a 45=BA. Bob=20 tem consigo outros dois polarizadores. Um orientado na = horizontal e=20 outro a -45=BA. Ao receber cada fot=E3o, f=E1-lo passar por = um dos seus=20 polarizadores, alternando entre os dois de forma = completamente=20 aleat=F3ria.

Os fot=F5es que Alice envia e que chegam a = Bob podem ou=20 n=E3o passar atrav=E9s do seu aparelho, dependendo da = conjuga=E7=E3o de=20 polarizadores. Se Alice envia um fot=E3o polarizado na = vertical e Bob=20 o faz passar atrav=E9s do polarizador horizontal, a = part=EDcula fica=20 retida e n=E3o passa pelo aparelho. Se Alice envia um = fot=E3o polarizado=20 a 45=BA e Bob o recebe com o polarizador a -45=BA, a = part=EDcula fica=20 tamb=E9m retida e n=E3o ultrapassa o obst=E1culo. Os = polarizadores=20 perpendiculares =E0 direc=E7=E3o de polariza=E7=E3o ret=EAm = as part=EDculas.

As surpresas=20 acontecem quando Alice envia um fot=E3o polarizado na = vertical e Bob o=20 recebe com o polarizador diagonal ou quando Alice envia um = fot=E3o=20 polarizado na diagonal e Bob o recebe com o polarizador na=20 horizontal - ou seja, quando a direc=E7=E3o de = polariza=E7=E3o de Alice e a=20 de Bob fazem um =E2ngulo de 45=BA. Nessa altura, entra em = campo a=20 incerteza qu=E2ntica: metade das part=EDculas ultrapassa o = polarizador=20 de Bob e outra metade fica retida por estes, sem que seja = poss=EDvel=20 saber =E0 partida quais as que ir=E3o ultrapassar o = obst=E1culo e quais=20 s=E3o as que ir=E3o ser retidas.

Nesta altura, apenas Alice sabe qual a = polariza=E7=E3o dos=20 fot=F5es enviados. E apenas Bob sabe quais os que chegaram = ao fim da=20 sua viagem. Com isso, Bob fica a saber a polariza=E7=E3o que = Alice=20 estabeleceu para os fot=F5es que ultrapassaram os = obst=E1culos. Pois se=20 um fot=E3o passou pelo seu filtro diagonal, =E9 porque Alice = o tinha=20 polarizado na vertical e tem pois o valor 0. Se passou o seu = filtro=20 horizontal, =E9 porque Alice o tinha polarizado na diagonal = e tem pois=20 o valor 1. Dos que ficaram retidos Bob nada sabe.

Alice precisa agora de saber quais os = fot=F5es que=20 ultrapassaram os filtros de Bob. Para isso, os dois = parceiros podem=20 contactar por qualquer canal inseguro. Podem mesmo ser = ouvidos por=20 Eva, que esta, ficando a saber quais as part=EDculas que = chegaram a=20 Bob, n=E3o fica por isso a saber qual o filtro que, em cada = caso,=20 ultrapassaram. A chave fica depois estabelecida, com base = apenas nos=20 fot=F5es que fizeram a viagem completa. E Alice e Bob podem = comunicar=20 em seguran=E7a absoluta. A incerteza do mundo qu=E2ntico = d=E1-lhes a=20 certeza de que n=E3o s=E3o escutados.

Talvez se esteja perto de p=F4r em pr=E1tica = este sistema=20 de criptografia. Ainda h=E1 poucos anos tudo isto parecia um = cen=E1rio=20 de fic=E7=E3o, mas os progressos recentes da t=E9cnica = vieram possibilitar=20 a constru=E7=E3o de prot=F3tipos que t=EAm tido sucesso na = aplica=E7=E3o destas=20 ideias. Como se imagina, as dificuldades tecnol=F3gicas = s=E3o imensas.=20 Como =E9 que se emite luz fot=E3o a fot=E3o? Como =E9 que se = assegura que=20 estas part=EDculas chegam ao seu destino? Os problemas t=EAm = sido=20 ultrapassados sucessivamente. Conseguiu-se j=E1 p=F4r em = pr=E1tica a=20 criptografia qu=E2ntica atrav=E9s de cabos =F3pticos e = viajando atrav=E9s do=20 ar por alguns quil=F3metros. Talvez n=E3o se esteja longe de = proteger os=20 nossos segredos fazendo-os viajar part=EDcula a part=EDcula. = =C0=20 velocidade da luz.

ENVIAR=20 COMENT=C1RIO

	ANTERIOR	TOPO
1=AA P=C1GINA REVISTA OPINI=C3O PA=CDS ECONOMIA <= SPAN=20 class=3Dablack-11-10-b>INTERNACIONAL DESPORTO VIDAS CARTAZ =

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