public static void CreateUniqueIndex(this DbContext context, string tableName, string fieldName)
{
      context.Database.ExecuteSqlCommand("CREATE UNIQUE INDEX [IX_Unique_" + tableName 
+ "_" + fieldName + "] ON [" + tableName + "]([" + fieldName + "] ASC);");
}

public class MyDbMigrationsConfiguration : DbMigrationsConfiguration<MyContext>
{
        public BlogDbMigrationsConfiguration()
        {
            AutomaticMigrationsEnabled = true;
            AutomaticMigrationDataLossAllowed = true;
        }

        protected override void Seed(MyContext context)
        {
            CreateUniqueIndex(context, "table1", "field1");
            base.Seed(context);
        }
}

using System;
using System.Data.Entity;
using System.Data.Entity.Infrastructure;
using System.Data.Objects;
using System.Linq;
using System.Linq.Expressions;
using System.Text.RegularExpressions;

namespace General
{
    public static class ContextExtensions
    {
        public static string GetTableName<T>(this DbContext context) where T : class
        {
            ObjectContext objectContext = ((IObjectContextAdapter)context).ObjectContext;
            return objectContext.GetTableName<T>();
        }

        public static string GetTableName<T>(this ObjectContext context) where T : class
        {
            var sql = context.CreateObjectSet<T>().ToTraceString();
            var regex = new Regex("FROM (?<table>.*) AS");
            var match = regex.Match(sql);
            string table = match.Groups["table"].Value;
            return table
                    .Replace("`", string.Empty)
                    .Replace("[", string.Empty)
                    .Replace("]", string.Empty)
                    .Replace("dbo.", string.Empty)
                    .Trim();
        }

        private static bool hasUniqueIndex(this DbContext context, string tableName, string indexName)
        {
            var sql = "SELECT count(*) FROM INFORMATION_SCHEMA.TABLE_CONSTRAINTS where table_name = '" 
                      + tableName + "' and CONSTRAINT_NAME = '" + indexName + "'";
            var result = context.Database.SqlQuery<int>(sql).FirstOrDefault();
            return result > 0;
        }

        private static void createUniqueIndex(this DbContext context, string tableName, string fieldName)
        {
            var indexName = "IX_Unique_" + tableName + "_" + fieldName;
            if (hasUniqueIndex(context, tableName, indexName))
                return;

            var sql = "ALTER TABLE [" + tableName + "] ADD CONSTRAINT [" + indexName + "] UNIQUE ([" + fieldName + "])";
            context.Database.ExecuteSqlCommand(sql);
        }

        public static void CreateUniqueIndex<TEntity>(this DbContext context, Expression<Func<TEntity, object>> fieldName) where TEntity : class
        {
            var field = ((MemberExpression)fieldName.Body).Member.Name;
            createUniqueIndex(context, context.GetTableName<TEntity>(), field);
        }
    }
}

context.CreateUniqueIndex<User>(x=>x.Name);

<script type="text/javascript" language="javascript" src="../../media/js/jquery.js"></script>
<script type="text/javascript" language="javascript" src="../../media/js/jquery.dataTables.js"></script>

<style type="text/css" title="currentStyle">
    @import "../../media/css/demo_page.css";
    @import "../../media/css/demo_table.css";
</style>

$(document).ready(function() {
    $('#example').dataTable();
} );